Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.30 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.4.l.a.59.30 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.274863 | + | 2.81504i | 0.0971786 | + | 0.995267i | ||||
\(3\) | 2.56535 | − | 4.51874i | 0.493701 | − | 0.869632i | ||||
\(4\) | −7.84890 | + | 1.54750i | −0.981113 | + | 0.193437i | ||||
\(5\) | 2.35563 | − | 6.47204i | 0.210694 | − | 0.578877i | −0.788660 | − | 0.614830i | \(-0.789225\pi\) |
0.999353 | + | 0.0359534i | \(0.0114468\pi\) | |||||||
\(6\) | 13.4255 | + | 5.97952i | 0.913493 | + | 0.406855i | ||||
\(7\) | 6.19890 | + | 1.09303i | 0.334709 | + | 0.0590183i | 0.338477 | − | 0.940975i | \(-0.390088\pi\) |
−0.00376784 | + | 0.999993i | \(0.501199\pi\) | |||||||
\(8\) | −6.51364 | − | 21.6696i | −0.287865 | − | 0.957671i | ||||
\(9\) | −13.8380 | − | 23.1843i | −0.512518 | − | 0.858676i | ||||
\(10\) | 18.8665 | + | 4.85227i | 0.596612 | + | 0.153442i | ||||
\(11\) | 20.4109 | − | 7.42895i | 0.559465 | − | 0.203628i | −0.0467821 | − | 0.998905i | \(-0.514897\pi\) |
0.606247 | + | 0.795277i | \(0.292674\pi\) | |||||||
\(12\) | −13.1424 | + | 39.4370i | −0.316157 | + | 0.948707i | ||||
\(13\) | 59.5758 | − | 49.9900i | 1.27103 | − | 1.06652i | 0.276612 | − | 0.960982i | \(-0.410788\pi\) |
0.994415 | − | 0.105537i | \(-0.0336562\pi\) | |||||||
\(14\) | −1.37309 | + | 17.7506i | −0.0262124 | + | 0.338860i | ||||
\(15\) | −23.2024 | − | 27.2475i | −0.399390 | − | 0.469018i | ||||
\(16\) | 59.2105 | − | 24.2923i | 0.925164 | − | 0.379568i | ||||
\(17\) | 34.1099 | − | 19.6934i | 0.486640 | − | 0.280962i | −0.236540 | − | 0.971622i | \(-0.576013\pi\) |
0.723179 | + | 0.690660i | \(0.242680\pi\) | |||||||
\(18\) | 61.4611 | − | 45.3270i | 0.804806 | − | 0.593538i | ||||
\(19\) | −102.949 | − | 59.4377i | −1.24306 | − | 0.717682i | −0.273345 | − | 0.961916i | \(-0.588130\pi\) |
−0.969716 | + | 0.244234i | \(0.921463\pi\) | |||||||
\(20\) | −8.47363 | + | 54.4437i | −0.0947381 | + | 0.608699i | ||||
\(21\) | 20.8415 | − | 25.2072i | 0.216570 | − | 0.261936i | ||||
\(22\) | 26.5230 | + | 55.4155i | 0.257033 | + | 0.537028i | ||||
\(23\) | 29.8149 | + | 169.088i | 0.270297 | + | 1.53293i | 0.753516 | + | 0.657430i | \(0.228356\pi\) |
−0.483219 | + | 0.875500i | \(0.660532\pi\) | |||||||
\(24\) | −114.629 | − | 26.1566i | −0.974940 | − | 0.222467i | ||||
\(25\) | 59.4173 | + | 49.8570i | 0.475338 | + | 0.398856i | ||||
\(26\) | 157.099 | + | 153.968i | 1.18499 | + | 1.16137i | ||||
\(27\) | −140.263 | + | 3.05466i | −0.999763 | + | 0.0217729i | ||||
\(28\) | −50.3460 | + | 1.01368i | −0.339804 | + | 0.00684167i | ||||
\(29\) | 13.5934 | − | 16.1999i | 0.0870422 | − | 0.103733i | −0.720765 | − | 0.693179i | \(-0.756210\pi\) |
0.807808 | + | 0.589446i | \(0.200654\pi\) | |||||||
\(30\) | 70.3253 | − | 72.8051i | 0.427986 | − | 0.443078i | ||||
\(31\) | −123.473 | + | 21.7717i | −0.715370 | + | 0.126139i | −0.519475 | − | 0.854486i | \(-0.673872\pi\) |
−0.195895 | + | 0.980625i | \(0.562761\pi\) | |||||||
\(32\) | 84.6586 | + | 160.003i | 0.467677 | + | 0.883899i | ||||
\(33\) | 18.7915 | − | 111.289i | 0.0991265 | − | 0.587060i | ||||
\(34\) | 64.8132 | + | 90.6079i | 0.326923 | + | 0.457033i | ||||
\(35\) | 21.6765 | − | 37.5448i | 0.104686 | − | 0.181321i | ||||
\(36\) | 144.491 | + | 160.557i | 0.668938 | + | 0.743318i | ||||
\(37\) | −100.091 | − | 173.363i | −0.444727 | − | 0.770290i | 0.553306 | − | 0.832978i | \(-0.313366\pi\) |
−0.998033 | + | 0.0626882i | \(0.980033\pi\) | |||||||
\(38\) | 139.023 | − | 306.143i | 0.593486 | − | 1.30692i | ||||
\(39\) | −73.0594 | − | 397.449i | −0.299971 | − | 1.63187i | ||||
\(40\) | −155.590 | − | 8.88908i | −0.615025 | − | 0.0351372i | ||||
\(41\) | 154.750 | + | 184.424i | 0.589461 | + | 0.702492i | 0.975502 | − | 0.219989i | \(-0.0706023\pi\) |
−0.386041 | + | 0.922481i | \(0.626158\pi\) | |||||||
\(42\) | 76.6878 | + | 51.7410i | 0.281743 | + | 0.190091i | ||||
\(43\) | 20.3028 | + | 55.7814i | 0.0720034 | + | 0.197828i | 0.970474 | − | 0.241206i | \(-0.0775430\pi\) |
−0.898470 | + | 0.439034i | \(0.855321\pi\) | |||||||
\(44\) | −148.707 | + | 89.8949i | −0.509508 | + | 0.308004i | ||||
\(45\) | −182.647 | + | 34.9465i | −0.605052 | + | 0.115767i | ||||
\(46\) | −467.796 | + | 130.406i | −1.49941 | + | 0.417985i | ||||
\(47\) | −45.4402 | + | 257.704i | −0.141024 | + | 0.799788i | 0.829450 | + | 0.558582i | \(0.188654\pi\) |
−0.970474 | + | 0.241207i | \(0.922457\pi\) | |||||||
\(48\) | 42.1248 | − | 329.875i | 0.126671 | − | 0.991945i | ||||
\(49\) | −285.083 | − | 103.762i | −0.831145 | − | 0.302512i | ||||
\(50\) | −124.018 | + | 180.966i | −0.350776 | + | 0.511849i | ||||
\(51\) | −1.48545 | − | 204.654i | −0.00407853 | − | 0.561909i | ||||
\(52\) | −390.245 | + | 484.560i | −1.04072 | + | 1.29224i | ||||
\(53\) | 26.8563i | 0.0696038i | 0.999394 | + | 0.0348019i | \(0.0110800\pi\) | ||||
−0.999394 | + | 0.0348019i | \(0.988920\pi\) | |||||||
\(54\) | −47.1520 | − | 394.006i | −0.118825 | − | 0.992915i | ||||
\(55\) | − | 149.600i | − | 0.366764i | ||||||
\(56\) | −16.6918 | − | 141.447i | −0.0398309 | − | 0.337531i | ||||
\(57\) | −532.684 | + | 312.722i | −1.23782 | + | 0.726685i | ||||
\(58\) | 49.3398 | + | 33.8131i | 0.111701 | + | 0.0765496i | ||||
\(59\) | −104.118 | − | 37.8960i | −0.229747 | − | 0.0836211i | 0.224581 | − | 0.974455i | \(-0.427899\pi\) |
−0.454328 | + | 0.890834i | \(0.650121\pi\) | |||||||
\(60\) | 224.279 | + | 177.957i | 0.482572 | + | 0.382903i | ||||
\(61\) | 105.359 | − | 597.518i | 0.221144 | − | 1.25417i | −0.648777 | − | 0.760979i | \(-0.724719\pi\) |
0.869921 | − | 0.493191i | \(-0.164170\pi\) | |||||||
\(62\) | −95.2264 | − | 341.598i | −0.195061 | − | 0.699727i | ||||
\(63\) | −60.4392 | − | 158.842i | −0.120867 | − | 0.317655i | ||||
\(64\) | −427.145 | + | 282.296i | −0.834268 | + | 0.551360i | ||||
\(65\) | −183.199 | − | 503.335i | −0.349585 | − | 0.960477i | ||||
\(66\) | 318.449 | + | 22.3095i | 0.593914 | + | 0.0416077i | ||||
\(67\) | 506.142 | + | 603.197i | 0.922912 | + | 1.09988i | 0.994736 | + | 0.102467i | \(0.0326735\pi\) |
−0.0718242 | + | 0.997417i | \(0.522882\pi\) | |||||||
\(68\) | −237.250 | + | 207.357i | −0.423100 | + | 0.369789i | ||||
\(69\) | 840.552 | + | 299.045i | 1.46653 | + | 0.521750i | ||||
\(70\) | 111.648 | + | 50.7005i | 0.190636 | + | 0.0865695i | ||||
\(71\) | 76.4183 | + | 132.360i | 0.127735 | + | 0.221244i | 0.922799 | − | 0.385282i | \(-0.125896\pi\) |
−0.795064 | + | 0.606526i | \(0.792563\pi\) | |||||||
\(72\) | −412.258 | + | 450.878i | −0.674793 | + | 0.738007i | ||||
\(73\) | −273.054 | + | 472.943i | −0.437788 | + | 0.758271i | −0.997519 | − | 0.0704037i | \(-0.977571\pi\) |
0.559731 | + | 0.828675i | \(0.310905\pi\) | |||||||
\(74\) | 460.513 | − | 329.412i | 0.723426 | − | 0.517478i | ||||
\(75\) | 377.717 | − | 140.591i | 0.581533 | − | 0.216453i | ||||
\(76\) | 900.018 | + | 307.207i | 1.35841 | + | 0.463672i | ||||
\(77\) | 134.645 | − | 23.7416i | 0.199276 | − | 0.0351377i | ||||
\(78\) | 1098.75 | − | 314.909i | 1.59499 | − | 0.457134i | ||||
\(79\) | −103.543 | + | 123.398i | −0.147463 | + | 0.175739i | −0.834719 | − | 0.550675i | \(-0.814370\pi\) |
0.687257 | + | 0.726414i | \(0.258815\pi\) | |||||||
\(80\) | −17.7428 | − | 440.436i | −0.0247964 | − | 0.615529i | ||||
\(81\) | −346.020 | + | 641.647i | −0.474650 | + | 0.880175i | ||||
\(82\) | −476.626 | + | 486.319i | −0.641884 | + | 0.654938i | ||||
\(83\) | 889.983 | + | 746.784i | 1.17697 | + | 0.987593i | 0.999994 | + | 0.00337756i | \(0.00107511\pi\) |
0.176973 | + | 0.984216i | \(0.443369\pi\) | |||||||
\(84\) | −124.574 | + | 230.101i | −0.161812 | + | 0.298882i | ||||
\(85\) | −47.1060 | − | 267.151i | −0.0601101 | − | 0.340901i | ||||
\(86\) | −151.447 | + | 72.4854i | −0.189894 | + | 0.0908872i | ||||
\(87\) | −38.3316 | − | 102.983i | −0.0472366 | − | 0.126908i | ||||
\(88\) | −293.932 | − | 393.906i | −0.356059 | − | 0.477166i | ||||
\(89\) | 1208.50 | + | 697.729i | 1.43934 | + | 0.831001i | 0.997803 | − | 0.0662441i | \(-0.0211016\pi\) |
0.441533 | + | 0.897245i | \(0.354435\pi\) | |||||||
\(90\) | −148.579 | − | 504.552i | −0.174017 | − | 0.590938i | ||||
\(91\) | 423.946 | − | 244.765i | 0.488369 | − | 0.281960i | ||||
\(92\) | −495.678 | − | 1281.02i | −0.561717 | − | 1.45169i | ||||
\(93\) | −218.371 | + | 613.796i | −0.243485 | + | 0.684384i | ||||
\(94\) | −737.938 | − | 57.0828i | −0.809707 | − | 0.0626345i | ||||
\(95\) | −627.194 | + | 526.278i | −0.677355 | + | 0.568368i | ||||
\(96\) | 940.190 | + | 27.9126i | 0.999560 | + | 0.0296752i | ||||
\(97\) | 1256.91 | − | 457.478i | 1.31567 | − | 0.478864i | 0.413601 | − | 0.910458i | \(-0.364271\pi\) |
0.902068 | + | 0.431594i | \(0.142049\pi\) | |||||||
\(98\) | 213.735 | − | 831.040i | 0.220311 | − | 0.856609i | ||||
\(99\) | −454.680 | − | 370.409i | −0.461587 | − | 0.376036i | ||||
\(100\) | −543.514 | − | 299.375i | −0.543514 | − | 0.299375i | ||||
\(101\) | 778.009 | + | 137.184i | 0.766483 | + | 0.135152i | 0.543201 | − | 0.839602i | \(-0.317212\pi\) |
0.223281 | + | 0.974754i | \(0.428323\pi\) | |||||||
\(102\) | 575.702 | − | 60.4334i | 0.558853 | − | 0.0586647i | ||||
\(103\) | 405.096 | − | 1112.99i | 0.387528 | − | 1.06472i | −0.580583 | − | 0.814201i | \(-0.697175\pi\) |
0.968111 | − | 0.250522i | \(-0.0806024\pi\) | |||||||
\(104\) | −1471.32 | − | 965.368i | −1.38726 | − | 0.910213i | ||||
\(105\) | −114.047 | − | 194.266i | −0.105999 | − | 0.180556i | ||||
\(106\) | −75.6016 | + | 7.38180i | −0.0692743 | + | 0.00676400i | ||||
\(107\) | −1135.58 | −1.02599 | −0.512994 | − | 0.858392i | \(-0.671464\pi\) | ||||
−0.512994 | + | 0.858392i | \(0.671464\pi\) | |||||||
\(108\) | 1096.18 | − | 241.032i | 0.976668 | − | 0.214753i | ||||
\(109\) | −1171.35 | −1.02931 | −0.514657 | − | 0.857396i | \(-0.672081\pi\) | ||||
−0.514657 | + | 0.857396i | \(0.672081\pi\) | |||||||
\(110\) | 421.130 | − | 41.1194i | 0.365028 | − | 0.0356416i | ||||
\(111\) | −1040.15 | + | 7.54978i | −0.889431 | + | 0.00645579i | ||||
\(112\) | 393.592 | − | 85.8667i | 0.332062 | − | 0.0724432i | ||||
\(113\) | −534.547 | + | 1468.66i | −0.445008 | + | 1.22265i | 0.491151 | + | 0.871074i | \(0.336576\pi\) |
−0.936159 | + | 0.351576i | \(0.885646\pi\) | |||||||
\(114\) | −1026.74 | − | 1413.57i | −0.843535 | − | 1.16134i | ||||
\(115\) | 1164.58 | + | 205.347i | 0.944327 | + | 0.166510i | ||||
\(116\) | −81.6236 | + | 148.187i | −0.0653324 | + | 0.118611i | ||||
\(117\) | −1983.39 | − | 689.459i | −1.56722 | − | 0.544791i | ||||
\(118\) | 78.0606 | − | 303.514i | 0.0608988 | − | 0.236786i | ||||
\(119\) | 232.970 | − | 84.7941i | 0.179465 | − | 0.0653198i | ||||
\(120\) | −439.311 | + | 680.269i | −0.334195 | + | 0.517498i | ||||
\(121\) | −658.191 | + | 552.288i | −0.494508 | + | 0.414942i | ||||
\(122\) | 1711.00 | + | 132.353i | 1.26972 | + | 0.0982189i | ||||
\(123\) | 1230.35 | − | 226.164i | 0.901927 | − | 0.165793i | ||||
\(124\) | 935.439 | − | 361.959i | 0.677459 | − | 0.262136i | ||||
\(125\) | 1208.22 | − | 697.569i | 0.864535 | − | 0.499140i | ||||
\(126\) | 430.535 | − | 213.799i | 0.304406 | − | 0.151164i | ||||
\(127\) | 1709.01 | + | 986.697i | 1.19410 | + | 0.689411i | 0.959233 | − | 0.282617i | \(-0.0912026\pi\) |
0.234863 | + | 0.972029i | \(0.424536\pi\) | |||||||
\(128\) | −912.081 | − | 1124.84i | −0.629823 | − | 0.776739i | ||||
\(129\) | 304.145 | + | 51.3557i | 0.207585 | + | 0.0350513i | ||||
\(130\) | 1366.55 | − | 654.060i | 0.921959 | − | 0.441268i | ||||
\(131\) | 148.339 | + | 841.271i | 0.0989345 | + | 0.561086i | 0.993470 | + | 0.114090i | \(0.0363951\pi\) |
−0.894536 | + | 0.446996i | \(0.852494\pi\) | |||||||
\(132\) | 24.7275 | + | 902.578i | 0.0163049 | + | 0.595146i | ||||
\(133\) | −573.205 | − | 480.976i | −0.373708 | − | 0.313578i | ||||
\(134\) | −1558.90 | + | 1590.61i | −1.00499 | + | 1.02543i | ||||
\(135\) | −310.637 | + | 914.982i | −0.198040 | + | 0.583327i | ||||
\(136\) | −648.928 | − | 610.874i | −0.409155 | − | 0.385162i | ||||
\(137\) | −515.006 | + | 613.760i | −0.321167 | + | 0.382752i | −0.902338 | − | 0.431030i | \(-0.858150\pi\) |
0.581171 | + | 0.813782i | \(0.302595\pi\) | |||||||
\(138\) | −610.787 | + | 2448.38i | −0.376766 | + | 1.51029i | ||||
\(139\) | 255.538 | − | 45.0583i | 0.155931 | − | 0.0274949i | −0.0951374 | − | 0.995464i | \(-0.530329\pi\) |
0.251069 | + | 0.967969i | \(0.419218\pi\) | |||||||
\(140\) | −112.036 | + | 328.229i | −0.0676341 | + | 0.198146i | ||||
\(141\) | 1047.93 | + | 866.433i | 0.625897 | + | 0.517495i | ||||
\(142\) | −351.595 | + | 251.502i | −0.207783 | + | 0.148631i | ||||
\(143\) | 844.621 | − | 1462.93i | 0.493921 | − | 0.855497i | ||||
\(144\) | −1382.55 | − | 1036.59i | −0.800089 | − | 0.599881i | ||||
\(145\) | −72.8257 | − | 126.138i | −0.0417093 | − | 0.0722426i | ||||
\(146\) | −1406.41 | − | 638.663i | −0.797226 | − | 0.362028i | ||||
\(147\) | −1200.21 | + | 1022.03i | −0.673412 | + | 0.573440i | ||||
\(148\) | 1053.89 | + | 1205.82i | 0.585330 | + | 0.669714i | ||||
\(149\) | −1230.94 | − | 1466.98i | −0.676796 | − | 0.806574i | 0.312896 | − | 0.949787i | \(-0.398701\pi\) |
−0.989692 | + | 0.143213i | \(0.954257\pi\) | |||||||
\(150\) | 499.588 | + | 1024.64i | 0.271941 | + | 0.557746i | ||||
\(151\) | −926.751 | − | 2546.23i | −0.499457 | − | 1.37225i | −0.891801 | − | 0.452427i | \(-0.850558\pi\) |
0.392345 | − | 0.919818i | \(-0.371664\pi\) | |||||||
\(152\) | −617.420 | + | 2618.03i | −0.329469 | + | 1.39704i | ||||
\(153\) | −928.590 | − | 518.297i | −0.490667 | − | 0.273868i | ||||
\(154\) | 103.842 | + | 372.506i | 0.0543367 | + | 0.194918i | ||||
\(155\) | −149.950 | + | 850.411i | −0.0777052 | + | 0.440688i | ||||
\(156\) | 1188.49 | + | 3006.48i | 0.609969 | + | 1.54302i | ||||
\(157\) | 2510.77 | + | 913.846i | 1.27631 | + | 0.464541i | 0.889212 | − | 0.457496i | \(-0.151254\pi\) |
0.387103 | + | 0.922036i | \(0.373476\pi\) | |||||||
\(158\) | −375.831 | − | 257.561i | −0.189237 | − | 0.129687i | ||||
\(159\) | 121.357 | + | 68.8958i | 0.0605296 | + | 0.0343635i | ||||
\(160\) | 1234.97 | − | 171.006i | 0.610206 | − | 0.0844952i | ||||
\(161\) | 1080.75i | 0.529038i | ||||||||
\(162\) | −1901.37 | − | 797.694i | −0.922135 | − | 0.386869i | ||||
\(163\) | − | 802.242i | − | 0.385499i | −0.981248 | − | 0.192750i | \(-0.938259\pi\) | ||
0.981248 | − | 0.192750i | \(-0.0617406\pi\) | |||||||
\(164\) | −1500.01 | − | 1208.05i | −0.714216 | − | 0.575200i | ||||
\(165\) | −676.003 | − | 383.775i | −0.318950 | − | 0.181072i | ||||
\(166\) | −1857.60 | + | 2710.60i | −0.868543 | + | 1.26737i | ||||
\(167\) | −2924.56 | − | 1064.45i | −1.35514 | − | 0.493232i | −0.440594 | − | 0.897706i | \(-0.645232\pi\) |
−0.914549 | + | 0.404474i | \(0.867454\pi\) | |||||||
\(168\) | −681.984 | − | 287.436i | −0.313192 | − | 0.132001i | ||||
\(169\) | 668.768 | − | 3792.77i | 0.304401 | − | 1.72634i | ||||
\(170\) | 739.094 | − | 206.035i | 0.333447 | − | 0.0929539i | ||||
\(171\) | 46.5909 | + | 3209.30i | 0.0208356 | + | 1.43521i | ||||
\(172\) | −245.676 | − | 406.405i | −0.108911 | − | 0.180163i | ||||
\(173\) | −673.233 | − | 1849.69i | −0.295867 | − | 0.812887i | −0.995179 | − | 0.0980711i | \(-0.968733\pi\) |
0.699313 | − | 0.714816i | \(-0.253489\pi\) | |||||||
\(174\) | 279.366 | − | 136.211i | 0.121717 | − | 0.0593457i | ||||
\(175\) | 313.826 | + | 374.004i | 0.135560 | + | 0.161554i | ||||
\(176\) | 1028.07 | − | 935.699i | 0.440306 | − | 0.400744i | ||||
\(177\) | −438.342 | + | 373.268i | −0.186146 | + | 0.158511i | ||||
\(178\) | −1631.96 | + | 3593.76i | −0.687195 | + | 1.51328i | ||||
\(179\) | 197.491 | + | 342.064i | 0.0824646 | + | 0.142833i | 0.904308 | − | 0.426881i | \(-0.140388\pi\) |
−0.821843 | + | 0.569713i | \(0.807054\pi\) | |||||||
\(180\) | 1379.50 | − | 556.937i | 0.571231 | − | 0.230620i | ||||
\(181\) | −888.132 | + | 1538.29i | −0.364720 | + | 0.631714i | −0.988731 | − | 0.149702i | \(-0.952169\pi\) |
0.624011 | + | 0.781416i | \(0.285502\pi\) | |||||||
\(182\) | 805.550 | + | 1126.15i | 0.328084 | + | 0.458657i | ||||
\(183\) | −2429.75 | − | 2008.93i | −0.981487 | − | 0.811499i | ||||
\(184\) | 3469.88 | − | 1747.46i | 1.39023 | − | 0.700132i | ||||
\(185\) | −1357.79 | + | 239.415i | −0.539604 | + | 0.0951468i | ||||
\(186\) | −1787.88 | − | 446.015i | −0.704806 | − | 0.175825i | ||||
\(187\) | 549.913 | − | 655.360i | 0.215046 | − | 0.256282i | ||||
\(188\) | −42.1411 | − | 2093.01i | −0.0163482 | − | 0.811962i | ||||
\(189\) | −872.815 | − | 134.377i | −0.335915 | − | 0.0517167i | ||||
\(190\) | −1653.89 | − | 1620.92i | −0.631502 | − | 0.618916i | ||||
\(191\) | −2267.12 | − | 1902.34i | −0.858864 | − | 0.720672i | 0.102859 | − | 0.994696i | \(-0.467201\pi\) |
−0.961723 | + | 0.274024i | \(0.911645\pi\) | |||||||
\(192\) | 179.848 | + | 2654.34i | 0.0676010 | + | 0.997712i | ||||
\(193\) | −333.569 | − | 1891.76i | −0.124408 | − | 0.705555i | −0.981657 | − | 0.190653i | \(-0.938939\pi\) |
0.857249 | − | 0.514902i | \(-0.172172\pi\) | |||||||
\(194\) | 1633.30 | + | 3412.51i | 0.604453 | + | 1.26291i | ||||
\(195\) | −2744.41 | − | 463.400i | −1.00785 | − | 0.170178i | ||||
\(196\) | 2398.16 | + | 373.250i | 0.873964 | + | 0.136024i | ||||
\(197\) | 3470.13 | + | 2003.48i | 1.25501 | + | 0.724579i | 0.972100 | − | 0.234568i | \(-0.0753676\pi\) |
0.282908 | + | 0.959147i | \(0.408701\pi\) | |||||||
\(198\) | 917.742 | − | 1381.76i | 0.329399 | − | 0.495945i | ||||
\(199\) | 1770.23 | − | 1022.04i | 0.630594 | − | 0.364074i | −0.150388 | − | 0.988627i | \(-0.548052\pi\) |
0.780982 | + | 0.624553i | \(0.214719\pi\) | |||||||
\(200\) | 693.360 | − | 1612.30i | 0.245140 | − | 0.570034i | ||||
\(201\) | 4024.12 | − | 739.716i | 1.41214 | − | 0.259580i | ||||
\(202\) | −172.333 | + | 2227.83i | −0.0600262 | + | 0.775989i | ||||
\(203\) | 101.971 | − | 85.5638i | 0.0352560 | − | 0.0295833i | ||||
\(204\) | 328.361 | + | 1604.01i | 0.112696 | + | 0.550507i | ||||
\(205\) | 1558.13 | − | 567.114i | 0.530852 | − | 0.193214i | ||||
\(206\) | 3244.47 | + | 834.443i | 1.09734 | + | 0.282225i | ||||
\(207\) | 3507.61 | − | 3031.08i | 1.17776 | − | 1.01775i | ||||
\(208\) | 2313.14 | − | 4407.17i | 0.771093 | − | 1.46915i | ||||
\(209\) | −2542.84 | − | 448.372i | −0.841589 | − | 0.148395i | ||||
\(210\) | 515.518 | − | 374.444i | 0.169401 | − | 0.123043i | ||||
\(211\) | −1724.72 | + | 4738.62i | −0.562723 | + | 1.54607i | 0.252905 | + | 0.967491i | \(0.418614\pi\) |
−0.815628 | + | 0.578577i | \(0.803608\pi\) | |||||||
\(212\) | −41.5601 | − | 210.793i | −0.0134640 | − | 0.0682891i | ||||
\(213\) | 794.142 | − | 5.76415i | 0.255463 | − | 0.00185424i | ||||
\(214\) | −312.128 | − | 3196.70i | −0.0997040 | − | 1.02113i | ||||
\(215\) | 408.846 | 0.129689 | ||||||||
\(216\) | 979.815 | + | 3019.55i | 0.308648 | + | 0.951176i | ||||
\(217\) | −789.197 | −0.246886 | ||||||||
\(218\) | −321.961 | − | 3297.40i | −0.100027 | − | 1.02444i | ||||
\(219\) | 1436.63 | + | 2447.12i | 0.443280 | + | 0.755073i | ||||
\(220\) | 231.505 | + | 1174.19i | 0.0709459 | + | 0.359837i | ||||
\(221\) | 1047.65 | − | 2878.41i | 0.318882 | − | 0.876121i | ||||
\(222\) | −307.152 | − | 2925.99i | −0.0928589 | − | 0.884594i | ||||
\(223\) | −4390.58 | − | 774.179i | −1.31845 | − | 0.232479i | −0.530223 | − | 0.847858i | \(-0.677892\pi\) |
−0.788231 | + | 0.615379i | \(0.789003\pi\) | |||||||
\(224\) | 349.902 | + | 1084.38i | 0.104370 | + | 0.323451i | ||||
\(225\) | 333.682 | − | 2067.47i | 0.0988686 | − | 0.612583i | ||||
\(226\) | −4281.25 | − | 1101.09i | −1.26011 | − | 0.324087i | ||||
\(227\) | 549.952 | − | 200.166i | 0.160800 | − | 0.0585264i | −0.260366 | − | 0.965510i | \(-0.583843\pi\) |
0.421166 | + | 0.906984i | \(0.361621\pi\) | |||||||
\(228\) | 3697.05 | − | 3278.85i | 1.07387 | − | 0.952400i | ||||
\(229\) | −4325.64 | + | 3629.64i | −1.24824 | + | 1.04739i | −0.251402 | + | 0.967883i | \(0.580892\pi\) |
−0.996834 | + | 0.0795119i | \(0.974664\pi\) | |||||||
\(230\) | −257.960 | + | 3334.78i | −0.0739539 | + | 0.956039i | ||||
\(231\) | 238.129 | − | 669.331i | 0.0678258 | − | 0.190644i | ||||
\(232\) | −439.589 | − | 189.043i | −0.124398 | − | 0.0534968i | ||||
\(233\) | 3907.53 | − | 2256.02i | 1.09867 | − | 0.634320i | 0.162802 | − | 0.986659i | \(-0.447947\pi\) |
0.935872 | + | 0.352339i | \(0.114614\pi\) | |||||||
\(234\) | 1395.69 | − | 5772.84i | 0.389912 | − | 1.61274i | ||||
\(235\) | 1560.83 | + | 901.147i | 0.433266 | + | 0.250146i | ||||
\(236\) | 875.860 | + | 136.319i | 0.241583 | + | 0.0376000i | ||||
\(237\) | 291.980 | + | 784.445i | 0.0800258 | + | 0.215001i | ||||
\(238\) | 302.733 | + | 632.513i | 0.0824508 | + | 0.172268i | ||||
\(239\) | 143.369 | + | 813.085i | 0.0388023 | + | 0.220059i | 0.998043 | − | 0.0625315i | \(-0.0199174\pi\) |
−0.959241 | + | 0.282590i | \(0.908806\pi\) | |||||||
\(240\) | −2035.73 | − | 1049.70i | −0.547525 | − | 0.282323i | ||||
\(241\) | 2004.49 | + | 1681.97i | 0.535770 | + | 0.449564i | 0.870088 | − | 0.492896i | \(-0.164062\pi\) |
−0.334318 | + | 0.942460i | \(0.608506\pi\) | |||||||
\(242\) | −1735.62 | − | 1701.03i | −0.461033 | − | 0.451844i | ||||
\(243\) | 2011.78 | + | 3209.62i | 0.531093 | + | 0.847314i | ||||
\(244\) | 97.7093 | + | 4852.90i | 0.0256360 | + | 1.27326i | ||||
\(245\) | −1343.10 | + | 1600.64i | −0.350235 | + | 0.417393i | ||||
\(246\) | 974.838 | + | 3401.32i | 0.252656 | + | 0.881547i | ||||
\(247\) | −9104.58 | + | 1605.38i | −2.34539 | + | 0.413555i | ||||
\(248\) | 1276.05 | + | 2533.81i | 0.326730 | + | 0.648779i | ||||
\(249\) | 5657.64 | − | 2105.84i | 1.43991 | − | 0.535953i | ||||
\(250\) | 2295.78 | + | 3209.46i | 0.580791 | + | 0.811937i | ||||
\(251\) | 2809.39 | − | 4866.01i | 0.706483 | − | 1.22366i | −0.259671 | − | 0.965697i | \(-0.583614\pi\) |
0.966154 | − | 0.257967i | \(-0.0830526\pi\) | |||||||
\(252\) | 720.190 | + | 1153.21i | 0.180031 | + | 0.288275i | ||||
\(253\) | 1864.70 | + | 3229.75i | 0.463370 | + | 0.802580i | ||||
\(254\) | −2307.85 | + | 5082.14i | −0.570108 | + | 1.25544i | ||||
\(255\) | −1328.03 | − | 472.476i | −0.326135 | − | 0.116030i | ||||
\(256\) | 2915.77 | − | 2876.72i | 0.711857 | − | 0.702324i | ||||
\(257\) | −4595.03 | − | 5476.15i | −1.11529 | − | 1.32915i | −0.938647 | − | 0.344880i | \(-0.887920\pi\) |
−0.176646 | − | 0.984274i | \(-0.556525\pi\) | |||||||
\(258\) | −60.9702 | + | 870.297i | −0.0147126 | + | 0.210009i | ||||
\(259\) | −430.964 | − | 1184.06i | −0.103393 | − | 0.284070i | ||||
\(260\) | 2216.82 | + | 3667.13i | 0.528775 | + | 0.874714i | ||||
\(261\) | −563.689 | − | 90.9773i | −0.133684 | − | 0.0215761i | ||||
\(262\) | −2327.44 | + | 648.814i | −0.548816 | + | 0.152992i | ||||
\(263\) | 192.012 | − | 1088.95i | 0.0450188 | − | 0.255314i | −0.953989 | − | 0.299840i | \(-0.903067\pi\) |
0.999008 | + | 0.0445259i | \(0.0141777\pi\) | |||||||
\(264\) | −2534.00 | + | 317.694i | −0.590745 | + | 0.0740633i | ||||
\(265\) | 173.815 | + | 63.2636i | 0.0402920 | + | 0.0146651i | ||||
\(266\) | 1196.41 | − | 1745.80i | 0.275778 | − | 0.402412i | ||||
\(267\) | 6253.08 | − | 3670.99i | 1.43327 | − | 0.841426i | ||||
\(268\) | −4906.11 | − | 3951.18i | −1.11824 | − | 0.900584i | ||||
\(269\) | − | 113.485i | − | 0.0257224i | −0.999917 | − | 0.0128612i | \(-0.995906\pi\) | ||
0.999917 | − | 0.0128612i | \(-0.00409396\pi\) | |||||||
\(270\) | −2661.09 | − | 622.963i | −0.599811 | − | 0.140416i | ||||
\(271\) | 2778.98i | 0.622920i | 0.950259 | + | 0.311460i | \(0.100818\pi\) | ||||
−0.950259 | + | 0.311460i | \(0.899182\pi\) | |||||||
\(272\) | 1541.27 | − | 1994.67i | 0.343578 | − | 0.444648i | ||||
\(273\) | −18.4624 | − | 2543.61i | −0.00409302 | − | 0.563905i | ||||
\(274\) | −1869.31 | − | 1281.06i | −0.412151 | − | 0.282452i | ||||
\(275\) | 1583.14 | + | 576.217i | 0.347153 | + | 0.126353i | ||||
\(276\) | −7060.18 | − | 1046.42i | −1.53976 | − | 0.228214i | ||||
\(277\) | 32.1970 | − | 182.598i | 0.00698386 | − | 0.0396075i | −0.981117 | − | 0.193417i | \(-0.938043\pi\) |
0.988101 | + | 0.153809i | \(0.0491542\pi\) | |||||||
\(278\) | 197.079 | + | 706.965i | 0.0425180 | + | 0.152521i | ||||
\(279\) | 2213.39 | + | 2561.36i | 0.474953 | + | 0.549623i | ||||
\(280\) | −954.773 | − | 225.168i | −0.203781 | − | 0.0480584i | ||||
\(281\) | 2923.26 | + | 8031.59i | 0.620594 | + | 1.70507i | 0.705528 | + | 0.708682i | \(0.250710\pi\) |
−0.0849337 | + | 0.996387i | \(0.527068\pi\) | |||||||
\(282\) | −2151.01 | + | 3188.11i | −0.454222 | + | 0.673224i | ||||
\(283\) | 1195.94 | + | 1425.27i | 0.251206 | + | 0.299376i | 0.876880 | − | 0.480709i | \(-0.159621\pi\) |
−0.625674 | + | 0.780084i | \(0.715176\pi\) | |||||||
\(284\) | −804.627 | − | 920.627i | −0.168119 | − | 0.192356i | ||||
\(285\) | 769.144 | + | 4184.21i | 0.159860 | + | 0.869653i | ||||
\(286\) | 4350.35 | + | 1975.54i | 0.899446 | + | 0.408448i | ||||
\(287\) | 757.699 | + | 1312.37i | 0.155838 | + | 0.269920i | ||||
\(288\) | 2538.04 | − | 4176.87i | 0.519290 | − | 0.854598i | ||||
\(289\) | −1680.84 | + | 2911.30i | −0.342121 | + | 0.592571i | ||||
\(290\) | 335.066 | − | 239.678i | 0.0678474 | − | 0.0485323i | ||||
\(291\) | 1157.19 | − | 6853.24i | 0.233112 | − | 1.38056i | ||||
\(292\) | 1411.29 | − | 4134.63i | 0.282841 | − | 0.828634i | ||||
\(293\) | −3758.53 | + | 662.730i | −0.749405 | + | 0.132140i | −0.535290 | − | 0.844668i | \(-0.679798\pi\) |
−0.214115 | + | 0.976809i | \(0.568687\pi\) | |||||||
\(294\) | −3206.95 | − | 3097.72i | −0.636167 | − | 0.614498i | ||||
\(295\) | −490.529 | + | 584.590i | −0.0968126 | + | 0.115377i | ||||
\(296\) | −3104.76 | + | 3298.16i | −0.609663 | + | 0.647642i | ||||
\(297\) | −2840.19 | + | 1104.35i | −0.554898 | + | 0.215761i | ||||
\(298\) | 3791.26 | − | 3868.37i | 0.736987 | − | 0.751975i | ||||
\(299\) | 10229.0 | + | 8583.14i | 1.97845 | + | 1.66012i | ||||
\(300\) | −2747.10 | + | 1688.00i | −0.528679 | + | 0.324855i | ||||
\(301\) | 64.8840 | + | 367.975i | 0.0124248 | + | 0.0704643i | ||||
\(302\) | 6913.00 | − | 3308.70i | 1.31721 | − | 0.630446i | ||||
\(303\) | 2615.76 | − | 3163.69i | 0.495945 | − | 0.599833i | ||||
\(304\) | −7539.55 | − | 1018.46i | −1.42244 | − | 0.192148i | ||||
\(305\) | −3618.98 | − | 2089.42i | −0.679416 | − | 0.392261i | ||||
\(306\) | 1203.79 | − | 2756.48i | 0.224889 | − | 0.514959i | ||||
\(307\) | −767.571 | + | 443.157i | −0.142696 | + | 0.0823854i | −0.569648 | − | 0.821889i | \(-0.692921\pi\) |
0.426952 | + | 0.904274i | \(0.359587\pi\) | |||||||
\(308\) | −1020.08 | + | 394.708i | −0.188715 | + | 0.0730214i | ||||
\(309\) | −3990.11 | − | 4685.74i | −0.734594 | − | 0.862661i | ||||
\(310\) | −2435.16 | − | 188.370i | −0.446154 | − | 0.0345120i | ||||
\(311\) | 1046.75 | − | 878.325i | 0.190854 | − | 0.160145i | −0.542354 | − | 0.840150i | \(-0.682467\pi\) |
0.733208 | + | 0.680005i | \(0.238022\pi\) | |||||||
\(312\) | −8136.69 | + | 4172.01i | −1.47644 | + | 0.757031i | ||||
\(313\) | −4635.80 | + | 1687.29i | −0.837160 | + | 0.304701i | −0.724794 | − | 0.688966i | \(-0.758065\pi\) |
−0.112366 | + | 0.993667i | \(0.535843\pi\) | |||||||
\(314\) | −1882.40 | + | 7319.11i | −0.338311 | + | 1.31542i | ||||
\(315\) | −1170.41 | + | 16.9913i | −0.209349 | + | 0.00303921i | ||||
\(316\) | 621.743 | − | 1128.77i | 0.110683 | − | 0.200945i | ||||
\(317\) | −7993.71 | − | 1409.51i | −1.41631 | − | 0.249734i | −0.587484 | − | 0.809236i | \(-0.699882\pi\) |
−0.828829 | + | 0.559501i | \(0.810993\pi\) | |||||||
\(318\) | −160.588 | + | 360.561i | −0.0283186 | + | 0.0635825i | ||||
\(319\) | 157.104 | − | 431.639i | 0.0275741 | − | 0.0757591i | ||||
\(320\) | 820.836 | + | 3429.48i | 0.143394 | + | 0.599106i | ||||
\(321\) | −2913.15 | + | 5131.39i | −0.506531 | + | 0.892231i | ||||
\(322\) | −3042.36 | + | 297.058i | −0.526534 | + | 0.0514112i | ||||
\(323\) | −4682.12 | −0.806564 | ||||||||
\(324\) | 1722.93 | − | 5571.69i | 0.295426 | − | 0.955366i | ||||
\(325\) | 6032.19 | 1.02956 | ||||||||
\(326\) | 2258.34 | − | 220.506i | 0.383675 | − | 0.0374623i | ||||
\(327\) | −3004.92 | + | 5293.03i | −0.508173 | + | 0.895124i | ||||
\(328\) | 2988.41 | − | 4554.65i | 0.503071 | − | 0.766732i | ||||
\(329\) | −563.359 | + | 1547.82i | −0.0944042 | + | 0.259374i | ||||
\(330\) | 894.535 | − | 2008.46i | 0.149220 | − | 0.335037i | ||||
\(331\) | −2708.98 | − | 477.666i | −0.449846 | − | 0.0793200i | −0.0558646 | − | 0.998438i | \(-0.517792\pi\) |
−0.393982 | + | 0.919118i | \(0.628903\pi\) | |||||||
\(332\) | −8141.04 | − | 4484.19i | −1.34578 | − | 0.741271i | ||||
\(333\) | −2634.23 | + | 4719.54i | −0.433499 | + | 0.776664i | ||||
\(334\) | 2192.62 | − | 8525.32i | 0.359207 | − | 1.39666i | ||||
\(335\) | 5096.20 | − | 1854.86i | 0.831149 | − | 0.302514i | ||||
\(336\) | 621.692 | − | 1998.82i | 0.100941 | − | 0.324537i | ||||
\(337\) | −513.117 | + | 430.556i | −0.0829414 | + | 0.0695961i | −0.683316 | − | 0.730123i | \(-0.739463\pi\) |
0.600374 | + | 0.799719i | \(0.295018\pi\) | |||||||
\(338\) | 10860.6 | + | 840.118i | 1.74775 | + | 0.135196i | ||||
\(339\) | 5265.17 | + | 6183.09i | 0.843554 | + | 0.990617i | ||||
\(340\) | 783.146 | + | 2023.95i | 0.124918 | + | 0.322835i | ||||
\(341\) | −2358.46 | + | 1361.66i | −0.374539 | + | 0.216240i | ||||
\(342\) | −9021.50 | + | 1013.27i | −1.42639 | + | 0.160209i | ||||
\(343\) | −3523.56 | − | 2034.33i | −0.554677 | − | 0.320243i | ||||
\(344\) | 1076.52 | − | 803.294i | 0.168727 | − | 0.125903i | ||||
\(345\) | 3915.46 | − | 4735.65i | 0.611018 | − | 0.739011i | ||||
\(346\) | 5021.91 | − | 2403.59i | 0.780288 | − | 0.373461i | ||||
\(347\) | −472.654 | − | 2680.55i | −0.0731221 | − | 0.414696i | −0.999293 | − | 0.0375924i | \(-0.988031\pi\) |
0.926171 | − | 0.377104i | \(-0.123080\pi\) | |||||||
\(348\) | 460.228 | + | 748.988i | 0.0708931 | + | 0.115373i | ||||
\(349\) | 8666.31 | + | 7271.90i | 1.32922 | + | 1.11535i | 0.984260 | + | 0.176729i | \(0.0565515\pi\) |
0.344959 | + | 0.938618i | \(0.387893\pi\) | |||||||
\(350\) | −966.576 | + | 986.234i | −0.147616 | + | 0.150618i | ||||
\(351\) | −8203.57 | + | 7193.73i | −1.24751 | + | 1.09394i | ||||
\(352\) | 2916.61 | + | 2636.87i | 0.441636 | + | 0.399278i | ||||
\(353\) | −3586.86 | + | 4274.66i | −0.540820 | + | 0.644524i | −0.965371 | − | 0.260880i | \(-0.915987\pi\) |
0.424551 | + | 0.905404i | \(0.360432\pi\) | |||||||
\(354\) | −1171.25 | − | 1131.35i | −0.175851 | − | 0.169861i | ||||
\(355\) | 1036.66 | − | 182.790i | 0.154986 | − | 0.0273282i | ||||
\(356\) | −10565.1 | − | 3606.25i | −1.57290 | − | 0.536884i | ||||
\(357\) | 214.486 | − | 1270.26i | 0.0317978 | − | 0.188317i | ||||
\(358\) | −908.642 | + | 649.965i | −0.134143 | + | 0.0959546i | ||||
\(359\) | 5292.48 | − | 9166.85i | 0.778069 | − | 1.34765i | −0.154985 | − | 0.987917i | \(-0.549533\pi\) |
0.933054 | − | 0.359737i | \(-0.117134\pi\) | |||||||
\(360\) | 1946.97 | + | 3730.25i | 0.285040 | + | 0.546116i | ||||
\(361\) | 3636.19 | + | 6298.07i | 0.530134 | + | 0.918220i | ||||
\(362\) | −4574.46 | − | 2077.31i | −0.664167 | − | 0.301605i | ||||
\(363\) | 807.156 | + | 4391.00i | 0.116707 | + | 0.634897i | ||||
\(364\) | −2948.73 | + | 2577.19i | −0.424603 | + | 0.371103i | ||||
\(365\) | 2417.69 | + | 2881.29i | 0.346706 | + | 0.413188i | ||||
\(366\) | 4987.37 | − | 7392.02i | 0.712279 | − | 1.05570i | ||||
\(367\) | −3034.01 | − | 8335.88i | −0.431537 | − | 1.18564i | −0.944869 | − | 0.327448i | \(-0.893811\pi\) |
0.513332 | − | 0.858190i | \(-0.328411\pi\) | |||||||
\(368\) | 5872.90 | + | 9287.54i | 0.831919 | + | 1.31562i | ||||
\(369\) | 2134.30 | − | 6139.82i | 0.301104 | − | 0.866196i | ||||
\(370\) | −1047.17 | − | 3756.43i | −0.147134 | − | 0.527804i | ||||
\(371\) | −29.3549 | + | 166.480i | −0.00410789 | + | 0.0232970i | ||||
\(372\) | 764.128 | − | 5155.55i | 0.106500 | − | 0.718557i | ||||
\(373\) | −11319.4 | − | 4119.91i | −1.57130 | − | 0.571906i | −0.598010 | − | 0.801489i | \(-0.704042\pi\) |
−0.973289 | + | 0.229583i | \(0.926264\pi\) | |||||||
\(374\) | 1996.02 | + | 1367.89i | 0.275967 | + | 0.189123i | ||||
\(375\) | −52.6169 | − | 7249.16i | −0.00724566 | − | 0.998253i | ||||
\(376\) | 5880.34 | − | 693.920i | 0.806530 | − | 0.0951761i | ||||
\(377\) | − | 1644.66i | − | 0.224680i | ||||||
\(378\) | 138.371 | − | 2493.94i | 0.0188282 | − | 0.339351i | ||||
\(379\) | 589.279i | 0.0798660i | 0.999202 | + | 0.0399330i | \(0.0127145\pi\) | ||||
−0.999202 | + | 0.0399330i | \(0.987286\pi\) | |||||||
\(380\) | 4108.37 | − | 5101.28i | 0.554618 | − | 0.688659i | ||||
\(381\) | 8842.83 | − | 5191.35i | 1.18906 | − | 0.698060i | ||||
\(382\) | 4732.01 | − | 6904.91i | 0.633798 | − | 0.924833i | ||||
\(383\) | −4008.24 | − | 1458.88i | −0.534756 | − | 0.194635i | 0.0605047 | − | 0.998168i | \(-0.480729\pi\) |
−0.595261 | + | 0.803533i | \(0.702951\pi\) | |||||||
\(384\) | −7422.65 | + | 1235.86i | −0.986421 | + | 0.164237i | ||||
\(385\) | 163.518 | − | 927.355i | 0.0216458 | − | 0.122759i | ||||
\(386\) | 5233.70 | − | 1458.98i | 0.690126 | − | 0.192384i | ||||
\(387\) | 1012.30 | − | 1242.61i | 0.132967 | − | 0.163218i | ||||
\(388\) | −9157.42 | + | 5535.77i | −1.19819 | + | 0.724319i | ||||
\(389\) | 869.853 | + | 2389.90i | 0.113376 | + | 0.311498i | 0.983383 | − | 0.181541i | \(-0.0581084\pi\) |
−0.870007 | + | 0.493039i | \(0.835886\pi\) | |||||||
\(390\) | 550.155 | − | 7852.99i | 0.0714313 | − | 1.01962i | ||||
\(391\) | 4346.91 | + | 5180.44i | 0.562232 | + | 0.670042i | ||||
\(392\) | −391.550 | + | 6853.50i | −0.0504496 | + | 0.883047i | ||||
\(393\) | 4182.03 | + | 1487.85i | 0.536782 | + | 0.190972i | ||||
\(394\) | −4686.07 | + | 10319.2i | −0.599190 | + | 1.31948i | ||||
\(395\) | 554.728 | + | 960.817i | 0.0706618 | + | 0.122390i | ||||
\(396\) | 4141.95 | + | 2203.69i | 0.525608 | + | 0.279645i | ||||
\(397\) | −158.394 | + | 274.347i | −0.0200241 | + | 0.0346828i | −0.875864 | − | 0.482558i | \(-0.839708\pi\) |
0.855840 | + | 0.517241i | \(0.173041\pi\) | |||||||
\(398\) | 3363.66 | + | 4702.35i | 0.423631 | + | 0.592230i | ||||
\(399\) | −3643.87 | + | 1356.29i | −0.457197 | + | 0.170174i | ||||
\(400\) | 4729.27 | + | 1508.67i | 0.591158 | + | 0.188584i | ||||
\(401\) | 12669.2 | − | 2233.93i | 1.57773 | − | 0.278197i | 0.684918 | − | 0.728620i | \(-0.259838\pi\) |
0.892815 | + | 0.450423i | \(0.148727\pi\) | |||||||
\(402\) | 3188.41 | + | 11124.7i | 0.395581 | + | 1.38023i | ||||
\(403\) | −6267.66 | + | 7469.51i | −0.774726 | + | 0.923282i | ||||
\(404\) | −6318.80 | + | 127.224i | −0.778149 | + | 0.0156674i | ||||
\(405\) | 3337.67 | + | 3750.94i | 0.409507 | + | 0.460211i | ||||
\(406\) | 268.894 | + | 263.534i | 0.0328694 | + | 0.0322142i | ||||
\(407\) | −3330.86 | − | 2794.92i | −0.405662 | − | 0.340391i | ||||
\(408\) | −4425.11 | + | 1365.23i | −0.536949 | + | 0.165660i | ||||
\(409\) | −2405.05 | − | 13639.7i | −0.290763 | − | 1.64900i | −0.683943 | − | 0.729536i | \(-0.739736\pi\) |
0.393180 | − | 0.919462i | \(-0.371375\pi\) | |||||||
\(410\) | 2024.72 | + | 4230.33i | 0.243887 | + | 0.509563i | ||||
\(411\) | 1452.25 | + | 3901.68i | 0.174293 | + | 0.468262i | ||||
\(412\) | −1457.21 | + | 9362.66i | −0.174251 | + | 1.11958i | ||||
\(413\) | −603.999 | − | 348.719i | −0.0719633 | − | 0.0415480i | ||||
\(414\) | 9496.73 | + | 9040.94i | 1.12739 | + | 1.07328i | ||||
\(415\) | 6929.69 | − | 4000.86i | 0.819675 | − | 0.473239i | ||||
\(416\) | 13042.2 | + | 5300.21i | 1.53713 | + | 0.624674i | ||||
\(417\) | 451.937 | − | 1270.30i | 0.0530731 | − | 0.149177i | ||||
\(418\) | 563.252 | − | 7281.45i | 0.0659081 | − | 0.852027i | ||||
\(419\) | −10914.0 | + | 9157.92i | −1.27251 | + | 1.06777i | −0.278283 | + | 0.960499i | \(0.589765\pi\) |
−0.994230 | + | 0.107266i | \(0.965790\pi\) | |||||||
\(420\) | 1195.77 | + | 1348.28i | 0.138923 | + | 0.156642i | ||||
\(421\) | 5626.47 | − | 2047.87i | 0.651348 | − | 0.237071i | 0.00485144 | − | 0.999988i | \(-0.498456\pi\) |
0.646496 | + | 0.762917i | \(0.276234\pi\) | |||||||
\(422\) | −13813.5 | − | 3552.68i | −1.59343 | − | 0.409815i | ||||
\(423\) | 6603.49 | − | 2512.61i | 0.759037 | − | 0.288812i | ||||
\(424\) | 581.966 | − | 174.932i | 0.0666575 | − | 0.0200365i | ||||
\(425\) | 3008.57 | + | 530.493i | 0.343382 | + | 0.0605475i | ||||
\(426\) | 234.506 | + | 2233.96i | 0.0266710 | + | 0.254074i | ||||
\(427\) | 1306.22 | − | 3588.80i | 0.148038 | − | 0.406731i | ||||
\(428\) | 8913.05 | − | 1757.31i | 1.00661 | − | 0.198464i | ||||
\(429\) | −4443.84 | − | 7569.53i | −0.500118 | − | 0.851889i | ||||
\(430\) | 112.376 | + | 1150.92i | 0.0126029 | + | 0.129075i | ||||
\(431\) | −15162.5 | −1.69455 | −0.847274 | − | 0.531156i | \(-0.821758\pi\) | ||||
−0.847274 | + | 0.531156i | \(0.821758\pi\) | |||||||
\(432\) | −8230.83 | + | 3588.18i | −0.916680 | + | 0.399621i | ||||
\(433\) | −903.514 | −0.100277 | −0.0501387 | − | 0.998742i | \(-0.515966\pi\) | ||||
−0.0501387 | + | 0.998742i | \(0.515966\pi\) | |||||||
\(434\) | −216.921 | − | 2221.62i | −0.0239920 | − | 0.245717i | ||||
\(435\) | −756.807 | + | 5.49317i | −0.0834164 | + | 0.000605465i | ||||
\(436\) | 9193.83 | − | 1812.67i | 1.00987 | − | 0.199108i | ||||
\(437\) | 6980.82 | − | 19179.7i | 0.764160 | − | 2.09951i | ||||
\(438\) | −6493.87 | + | 4716.79i | −0.708422 | + | 0.514559i | ||||
\(439\) | 15034.8 | + | 2651.04i | 1.63456 | + | 0.288216i | 0.914162 | − | 0.405348i | \(-0.132850\pi\) |
0.720394 | + | 0.693565i | \(0.243961\pi\) | |||||||
\(440\) | −3241.77 | + | 974.439i | −0.351240 | + | 0.105579i | ||||
\(441\) | 1539.34 | + | 8045.29i | 0.166217 | + | 0.868728i | ||||
\(442\) | 8390.79 | + | 2158.02i | 0.902962 | + | 0.232232i | ||||
\(443\) | −761.798 | + | 277.272i | −0.0817023 | + | 0.0297372i | −0.382548 | − | 0.923936i | \(-0.624953\pi\) |
0.300846 | + | 0.953673i | \(0.402731\pi\) | |||||||
\(444\) | 8152.36 | − | 1668.89i | 0.871383 | − | 0.178383i | ||||
\(445\) | 7362.51 | − | 6177.88i | 0.784307 | − | 0.658111i | ||||
\(446\) | 972.536 | − | 12572.5i | 0.103253 | − | 1.33481i | ||||
\(447\) | −9786.68 | + | 1798.99i | −1.03556 | + | 0.190357i | ||||
\(448\) | −2956.39 | + | 1283.04i | −0.311777 | + | 0.135308i | ||||
\(449\) | −9771.90 | + | 5641.81i | −1.02709 | + | 0.592992i | −0.916150 | − | 0.400835i | \(-0.868720\pi\) |
−0.110942 | + | 0.993827i | \(0.535387\pi\) | |||||||
\(450\) | 5911.72 | + | 371.058i | 0.619291 | + | 0.0388708i | ||||
\(451\) | 4528.66 | + | 2614.62i | 0.472830 | + | 0.272988i | ||||
\(452\) | 1922.86 | − | 12354.5i | 0.200097 | − | 1.28564i | ||||
\(453\) | −13883.2 | − | 2344.21i | −1.43993 | − | 0.243136i | ||||
\(454\) | 714.637 | + | 1493.12i | 0.0738758 | + | 0.154351i | ||||
\(455\) | −585.470 | − | 3320.37i | −0.0603237 | − | 0.342113i | ||||
\(456\) | 10246.3 | + | 9506.10i | 1.05225 | + | 0.976237i | ||||
\(457\) | −2425.09 | − | 2034.89i | −0.248230 | − | 0.208290i | 0.510180 | − | 0.860068i | \(-0.329579\pi\) |
−0.758410 | + | 0.651778i | \(0.774023\pi\) | |||||||
\(458\) | −11406.5 | − | 11179.2i | −1.16374 | − | 1.14054i | ||||
\(459\) | −4724.20 | + | 2866.45i | −0.480407 | + | 0.291491i | ||||
\(460\) | −9458.45 | + | 190.438i | −0.958701 | + | 0.0193027i | ||||
\(461\) | 5040.85 | − | 6007.46i | 0.509275 | − | 0.606931i | −0.448735 | − | 0.893665i | \(-0.648125\pi\) |
0.958010 | + | 0.286734i | \(0.0925697\pi\) | |||||||
\(462\) | 1949.65 | + | 486.370i | 0.196333 | + | 0.0489783i | ||||
\(463\) | −1198.03 | + | 211.245i | −0.120253 | + | 0.0212039i | −0.233451 | − | 0.972369i | \(-0.575002\pi\) |
0.113198 | + | 0.993572i | \(0.463891\pi\) | |||||||
\(464\) | 411.336 | − | 1289.42i | 0.0411547 | − | 0.129008i | ||||
\(465\) | 3458.11 | + | 2859.18i | 0.344873 | + | 0.285143i | ||||
\(466\) | 7424.81 | + | 10379.8i | 0.738085 | + | 1.03183i | ||||
\(467\) | 9060.63 | − | 15693.5i | 0.897807 | − | 1.55505i | 0.0675151 | − | 0.997718i | \(-0.478493\pi\) |
0.830292 | − | 0.557329i | \(-0.188174\pi\) | |||||||
\(468\) | 16634.4 | + | 2342.20i | 1.64300 | + | 0.231342i | ||||
\(469\) | 2478.21 | + | 4292.39i | 0.243994 | + | 0.422610i | ||||
\(470\) | −2107.75 | + | 4641.50i | −0.206858 | + | 0.455524i | ||||
\(471\) | 10570.4 | − | 9001.19i | 1.03410 | − | 0.880579i | ||||
\(472\) | −143.002 | + | 2503.05i | −0.0139454 | + | 0.244094i | ||||
\(473\) | 828.795 | + | 987.720i | 0.0805667 | + | 0.0960157i | ||||
\(474\) | −2127.99 | + | 1037.55i | −0.206206 | + | 0.100540i | ||||
\(475\) | −3153.57 | − | 8664.37i | −0.304623 | − | 0.836944i | ||||
\(476\) | −1697.34 | + | 1026.06i | −0.163440 | + | 0.0988013i | ||||
\(477\) | 622.644 | − | 371.638i | 0.0597671 | − | 0.0356732i | ||||
\(478\) | −2249.46 | + | 627.076i | −0.215247 | + | 0.0600037i | ||||
\(479\) | −1838.49 | + | 10426.6i | −0.175372 | + | 0.994581i | 0.762343 | + | 0.647174i | \(0.224049\pi\) |
−0.937714 | + | 0.347408i | \(0.887062\pi\) | |||||||
\(480\) | 2395.39 | − | 6019.19i | 0.227779 | − | 0.572369i | ||||
\(481\) | −14629.5 | − | 5324.68i | −1.38679 | − | 0.504750i | ||||
\(482\) | −4183.85 | + | 6105.03i | −0.395371 | + | 0.576922i | ||||
\(483\) | 4883.63 | + | 2772.50i | 0.460068 | + | 0.261187i | ||||
\(484\) | 4311.41 | − | 5353.40i | 0.404903 | − | 0.502761i | ||||
\(485\) | − | 9212.42i | − | 0.862504i | ||||||
\(486\) | −8482.25 | + | 6545.44i | −0.791692 | + | 0.610920i | ||||
\(487\) | − | 8180.19i | − | 0.761150i | −0.924750 | − | 0.380575i | \(-0.875726\pi\) | ||
0.924750 | − | 0.380575i | \(-0.124274\pi\) | |||||||
\(488\) | −13634.3 | + | 1608.94i | −1.26474 | + | 0.149248i | ||||
\(489\) | −3625.12 | − | 2058.03i | −0.335243 | − | 0.190322i | ||||
\(490\) | −4875.04 | − | 3340.92i | −0.449453 | − | 0.308015i | ||||
\(491\) | −7223.30 | − | 2629.07i | −0.663916 | − | 0.241646i | −0.0119900 | − | 0.999928i | \(-0.503817\pi\) |
−0.651926 | + | 0.758282i | \(0.726039\pi\) | |||||||
\(492\) | −9306.91 | + | 3679.10i | −0.852821 | + | 0.337128i | ||||
\(493\) | 144.637 | − | 820.279i | 0.0132133 | − | 0.0749361i | ||||
\(494\) | −7021.72 | − | 25188.5i | −0.639519 | − | 2.29410i | ||||
\(495\) | −3468.36 | + | 2070.16i | −0.314932 | + | 0.187973i | ||||
\(496\) | −6782.04 | + | 4288.57i | −0.613957 | + | 0.388231i | ||||
\(497\) | 329.035 | + | 904.017i | 0.0296967 | + | 0.0815910i | ||||
\(498\) | 7483.10 | + | 15347.7i | 0.673345 | + | 1.38101i | ||||
\(499\) | −2147.07 | − | 2558.78i | −0.192617 | − | 0.229553i | 0.661088 | − | 0.750308i | \(-0.270095\pi\) |
−0.853706 | + | 0.520755i | \(0.825650\pi\) | |||||||
\(500\) | −8403.75 | + | 7344.87i | −0.751654 | + | 0.656945i | ||||
\(501\) | −12312.5 | + | 10484.6i | −1.09797 | + | 0.934967i | ||||
\(502\) | 14470.2 | + | 6571.06i | 1.28653 | + | 0.584225i | ||||
\(503\) | 3839.68 | + | 6650.52i | 0.340363 | + | 0.589526i | 0.984500 | − | 0.175384i | \(-0.0561166\pi\) |
−0.644137 | + | 0.764910i | \(0.722783\pi\) | |||||||
\(504\) | −3048.37 | + | 2344.34i | −0.269415 | + | 0.207193i | ||||
\(505\) | 2720.56 | − | 4712.15i | 0.239729 | − | 0.415223i | ||||
\(506\) | −8579.34 | + | 6136.94i | −0.753752 | + | 0.539170i | ||||
\(507\) | −15422.9 | − | 12751.8i | −1.35100 | − | 1.11701i | ||||
\(508\) | −14940.8 | − | 5099.80i | −1.30490 | − | 0.445408i | ||||
\(509\) | −8155.13 | + | 1437.97i | −0.710156 | + | 0.125220i | −0.517046 | − | 0.855957i | \(-0.672969\pi\) |
−0.193110 | + | 0.981177i | \(0.561857\pi\) | |||||||
\(510\) | 965.013 | − | 3868.32i | 0.0837872 | − | 0.335867i | ||||
\(511\) | −2209.58 | + | 2633.27i | −0.191283 | + | 0.227963i | ||||
\(512\) | 8899.52 | + | 7417.30i | 0.768178 | + | 0.640237i | ||||
\(513\) | 14621.5 | + | 8022.43i | 1.25839 | + | 0.690447i | ||||
\(514\) | 14152.6 | − | 14440.4i | 1.21448 | − | 1.23918i | ||||
\(515\) | −6249.08 | − | 5243.60i | −0.534694 | − | 0.448661i | ||||
\(516\) | −2466.68 | + | 67.5785i | −0.210445 | + | 0.00576546i | ||||
\(517\) | 986.998 | + | 5597.54i | 0.0839616 | + | 0.476170i | ||||
\(518\) | 3214.73 | − | 1538.64i | 0.272678 | − | 0.130509i | ||||
\(519\) | −10085.3 | − | 1702.94i | −0.852982 | − | 0.144028i | ||||
\(520\) | −9713.79 | + | 7248.40i | −0.819188 | + | 0.611275i | ||||
\(521\) | 3850.35 | + | 2223.00i | 0.323775 | + | 0.186932i | 0.653074 | − | 0.757294i | \(-0.273479\pi\) |
−0.329299 | + | 0.944226i | \(0.606812\pi\) | |||||||
\(522\) | 101.168 | − | 1611.81i | 0.00848275 | − | 0.135148i | ||||
\(523\) | −2212.03 | + | 1277.12i | −0.184943 | + | 0.106777i | −0.589613 | − | 0.807686i | \(-0.700720\pi\) |
0.404670 | + | 0.914463i | \(0.367386\pi\) | |||||||
\(524\) | −2466.16 | − | 6373.50i | −0.205601 | − | 0.531351i | ||||
\(525\) | 2495.10 | − | 458.650i | 0.207419 | − | 0.0381279i | ||||
\(526\) | 3118.22 | + | 241.208i | 0.258481 | + | 0.0199946i | ||||
\(527\) | −3782.91 | + | 3174.24i | −0.312688 | + | 0.262376i | ||||
\(528\) | −1590.82 | − | 7045.98i | −0.131121 | − | 0.580752i | ||||
\(529\) | −16268.7 | + | 5921.34i | −1.33712 | + | 0.486672i | ||||
\(530\) | −130.314 | + | 506.685i | −0.0106802 | + | 0.0415264i | ||||
\(531\) | 562.200 | + | 2938.31i | 0.0459462 | + | 0.240136i | ||||
\(532\) | 5243.33 | + | 2888.10i | 0.427307 | + | 0.235366i | ||||
\(533\) | 18438.7 | + | 3251.24i | 1.49844 | + | 0.264216i | ||||
\(534\) | 12052.7 | + | 16593.6i | 0.976726 | + | 1.34471i | ||||
\(535\) | −2675.00 | + | 7349.52i | −0.216169 | + | 0.593920i | ||||
\(536\) | 9774.22 | − | 14896.9i | 0.787653 | − | 1.20046i | ||||
\(537\) | 2052.33 | − | 14.8965i | 0.164925 | − | 0.00119708i | ||||
\(538\) | 319.466 | − | 31.1929i | 0.0256007 | − | 0.00249967i | ||||
\(539\) | −6589.63 | −0.526597 | ||||||||
\(540\) | 1022.23 | − | 7662.32i | 0.0814625 | − | 0.610618i | ||||
\(541\) | 2022.29 | 0.160712 | 0.0803559 | − | 0.996766i | \(-0.474394\pi\) | ||||
0.0803559 | + | 0.996766i | \(0.474394\pi\) | |||||||
\(542\) | −7822.95 | + | 763.839i | −0.619972 | + | 0.0605345i | ||||
\(543\) | 4672.76 | + | 7959.48i | 0.369296 | + | 0.629050i | ||||
\(544\) | 6038.70 | + | 3790.48i | 0.475932 | + | 0.298741i | ||||
\(545\) | −2759.27 | + | 7581.04i | −0.216870 | + | 0.595846i | ||||
\(546\) | 7155.28 | − | 751.114i | 0.560838 | − | 0.0588731i | ||||
\(547\) | 14545.4 | + | 2564.75i | 1.13696 | + | 0.200477i | 0.710277 | − | 0.703923i | \(-0.248570\pi\) |
0.426686 | + | 0.904400i | \(0.359681\pi\) | |||||||
\(548\) | 3092.44 | − | 5614.31i | 0.241063 | − | 0.437649i | ||||
\(549\) | −15311.0 | + | 5825.80i | −1.19027 | + | 0.452894i | ||||
\(550\) | −1186.93 | + | 4614.99i | −0.0920195 | + | 0.357789i | ||||
\(551\) | −2362.31 | + | 859.812i | −0.182646 | + | 0.0664777i | ||||
\(552\) | 1005.14 | − | 20162.3i | 0.0775027 | − | 1.55465i | ||||
\(553\) | −776.734 | + | 651.757i | −0.0597289 | + | 0.0501185i | ||||
\(554\) | 522.871 | + | 40.4464i | 0.0400987 | + | 0.00310181i | ||||
\(555\) | −2401.35 | + | 6749.69i | −0.183661 | + | 0.516231i | ||||
\(556\) | −1935.97 | + | 749.103i | −0.147668 | + | 0.0571386i | ||||
\(557\) | 11709.8 | − | 6760.68i | 0.890776 | − | 0.514290i | 0.0165796 | − | 0.999863i | \(-0.494722\pi\) |
0.874196 | + | 0.485573i | \(0.161389\pi\) | |||||||
\(558\) | −6601.96 | + | 6934.79i | −0.500866 | + | 0.526117i | ||||
\(559\) | 3998.07 | + | 2308.29i | 0.302505 | + | 0.174652i | ||||
\(560\) | 371.426 | − | 2749.62i | 0.0280279 | − | 0.207487i | ||||
\(561\) | −1550.69 | − | 4166.14i | −0.116702 | − | 0.313537i | ||||
\(562\) | −21805.7 | + | 10436.7i | −1.63669 | + | 0.783353i | ||||
\(563\) | 3077.97 | + | 17456.1i | 0.230411 | + | 1.30672i | 0.852067 | + | 0.523433i | \(0.175349\pi\) |
−0.621656 | + | 0.783290i | \(0.713540\pi\) | |||||||
\(564\) | −9565.89 | − | 5178.88i | −0.714179 | − | 0.386649i | ||||
\(565\) | 8246.00 | + | 6919.22i | 0.614003 | + | 0.515210i | ||||
\(566\) | −3683.46 | + | 3758.37i | −0.273547 | + | 0.279110i | ||||
\(567\) | −2846.28 | + | 3599.30i | −0.210816 | + | 0.266590i | ||||
\(568\) | 2370.44 | − | 2518.10i | 0.175108 | − | 0.186016i | ||||
\(569\) | −12151.2 | + | 14481.3i | −0.895265 | + | 1.06694i | 0.102127 | + | 0.994771i | \(0.467435\pi\) |
−0.997393 | + | 0.0721645i | \(0.977009\pi\) | |||||||
\(570\) | −11567.3 | + | 3315.25i | −0.850002 | + | 0.243615i | ||||
\(571\) | 24280.1 | − | 4281.24i | 1.77949 | − | 0.313773i | 0.815313 | − | 0.579020i | \(-0.196565\pi\) |
0.964180 | + | 0.265247i | \(0.0854535\pi\) | |||||||
\(572\) | −4365.47 | + | 12789.4i | −0.319108 | + | 0.934882i | ||||
\(573\) | −14412.1 | + | 5364.36i | −1.05074 | + | 0.391098i | ||||
\(574\) | −3486.12 | + | 2493.67i | −0.253498 | + | 0.181331i | ||||
\(575\) | −6658.73 | + | 11533.3i | −0.482936 | + | 0.836469i | ||||
\(576\) | 12455.7 | + | 5996.63i | 0.901017 | + | 0.433784i | ||||
\(577\) | −8105.23 | − | 14038.7i | −0.584792 | − | 1.01289i | −0.994901 | − | 0.100853i | \(-0.967843\pi\) |
0.410109 | − | 0.912036i | \(-0.365491\pi\) | |||||||
\(578\) | −8657.43 | − | 3931.43i | −0.623013 | − | 0.282917i | ||||
\(579\) | −9404.10 | − | 3345.72i | −0.674993 | − | 0.240144i | ||||
\(580\) | 766.800 | + | 877.346i | 0.0548959 | + | 0.0628100i | ||||
\(581\) | 4700.66 | + | 5602.02i | 0.335656 | + | 0.400019i | ||||
\(582\) | 19610.2 | + | 1373.83i | 1.39668 | + | 0.0978471i | ||||
\(583\) | 199.514 | + | 548.161i | 0.0141733 | + | 0.0389408i | ||||
\(584\) | 12027.1 | + | 2836.39i | 0.852198 | + | 0.200977i | ||||
\(585\) | −9134.34 | + | 11212.5i | −0.645570 | + | 0.792443i | ||||
\(586\) | −2898.69 | − | 10398.2i | −0.204341 | − | 0.733016i | ||||
\(587\) | 1711.17 | − | 9704.55i | 0.120320 | − | 0.682367i | −0.863658 | − | 0.504078i | \(-0.831832\pi\) |
0.983978 | − | 0.178290i | \(-0.0570564\pi\) | |||||||
\(588\) | 7838.73 | − | 9879.14i | 0.549768 | − | 0.692872i | ||||
\(589\) | 14005.6 | + | 5097.60i | 0.979777 | + | 0.356610i | ||||
\(590\) | −1780.47 | − | 1220.18i | −0.124239 | − | 0.0851422i | ||||
\(591\) | 17955.3 | − | 10541.0i | 1.24972 | − | 0.733669i | ||||
\(592\) | −10137.8 | − | 7833.47i | −0.703822 | − | 0.543841i | ||||
\(593\) | 20848.0i | 1.44372i | 0.692040 | + | 0.721859i | \(0.256712\pi\) | ||||
−0.692040 | + | 0.721859i | \(0.743288\pi\) | |||||||
\(594\) | −3889.46 | − | 7691.72i | −0.268664 | − | 0.531305i | ||||
\(595\) | − | 1707.53i | − | 0.117650i | ||||||
\(596\) | 11931.7 | + | 9609.29i | 0.820035 | + | 0.660423i | ||||
\(597\) | −77.0916 | − | 10621.1i | −0.00528501 | − | 0.728129i | ||||
\(598\) | −21350.3 | + | 31154.2i | −1.46000 | + | 2.13042i | ||||
\(599\) | 23476.2 | + | 8544.62i | 1.60135 | + | 0.582845i | 0.979704 | − | 0.200452i | \(-0.0642409\pi\) |
0.621649 | + | 0.783296i | \(0.286463\pi\) | |||||||
\(600\) | −5506.85 | − | 7269.22i | −0.374694 | − | 0.494608i | ||||
\(601\) | 4497.86 | − | 25508.6i | 0.305277 | − | 1.73131i | −0.316920 | − | 0.948452i | \(-0.602649\pi\) |
0.622197 | − | 0.782861i | \(-0.286240\pi\) | |||||||
\(602\) | −1018.03 | + | 283.794i | −0.0689234 | + | 0.0192136i | ||||
\(603\) | 6980.68 | − | 20081.6i | 0.471435 | − | 1.35619i | ||||
\(604\) | 11214.3 | + | 18550.9i | 0.755467 | + | 1.24971i | ||||
\(605\) | 2023.97 | + | 5560.82i | 0.136010 | + | 0.373685i | ||||
\(606\) | 9624.90 | + | 6493.89i | 0.645189 | + | 0.435307i | ||||
\(607\) | −9952.84 | − | 11861.3i | −0.665525 | − | 0.793141i | 0.322643 | − | 0.946521i | \(-0.395429\pi\) |
−0.988167 | + | 0.153379i | \(0.950984\pi\) | |||||||
\(608\) | 794.675 | − | 21504.1i | 0.0530071 | − | 1.43438i | ||||
\(609\) | −125.050 | − | 680.281i | −0.00832064 | − | 0.0452650i | ||||
\(610\) | 4887.07 | − | 10761.9i | 0.324380 | − | 0.714320i | ||||
\(611\) | 10175.5 | + | 17624.5i | 0.673743 | + | 1.16696i | ||||
\(612\) | 8090.47 | + | 2631.07i | 0.534376 | + | 0.173782i | ||||
\(613\) | 3580.07 | − | 6200.87i | 0.235885 | − | 0.408565i | −0.723644 | − | 0.690173i | \(-0.757534\pi\) |
0.959530 | + | 0.281608i | \(0.0908677\pi\) | |||||||
\(614\) | −1458.48 | − | 2038.94i | −0.0958624 | − | 0.134014i | ||||
\(615\) | 1434.51 | − | 8495.64i | 0.0940569 | − | 0.557036i | ||||
\(616\) | −1391.50 | − | 2763.06i | −0.0910149 | − | 0.180726i | ||||
\(617\) | 2737.73 | − | 482.735i | 0.178633 | − | 0.0314979i | −0.0836159 | − | 0.996498i | \(-0.526647\pi\) |
0.262249 | + | 0.965000i | \(0.415536\pi\) | |||||||
\(618\) | 12093.8 | − | 12520.3i | 0.787191 | − | 0.814950i | ||||
\(619\) | −5414.32 | + | 6452.53i | −0.351567 | + | 0.418981i | −0.912626 | − | 0.408794i | \(-0.865949\pi\) |
0.561060 | + | 0.827775i | \(0.310394\pi\) | |||||||
\(620\) | −139.064 | − | 6906.84i | −0.00900795 | − | 0.447396i | ||||
\(621\) | −4698.42 | − | 23625.8i | −0.303609 | − | 1.52668i | ||||
\(622\) | 2760.23 | + | 2705.21i | 0.177934 | + | 0.174388i | ||||
\(623\) | 6728.74 | + | 5646.09i | 0.432715 | + | 0.363091i | ||||
\(624\) | −13980.8 | − | 21758.4i | −0.896926 | − | 1.39589i | ||||
\(625\) | 15.0372 | + | 85.2804i | 0.000962383 | + | 0.00545794i | ||||
\(626\) | −6024.01 | − | 12586.2i | −0.384613 | − | 0.803587i | ||||
\(627\) | −8549.35 | + | 10340.2i | −0.544542 | + | 0.658610i | ||||
\(628\) | −21121.0 | − | 3287.27i | −1.34207 | − | 0.208880i | ||||
\(629\) | −6828.21 | − | 3942.27i | −0.432844 | − | 0.249902i | ||||
\(630\) | −369.532 | − | 3290.07i | −0.0233691 | − | 0.208063i | ||||
\(631\) | 4393.10 | − | 2536.36i | 0.277158 | − | 0.160017i | −0.354978 | − | 0.934875i | \(-0.615512\pi\) |
0.632136 | + | 0.774857i | \(0.282178\pi\) | |||||||
\(632\) | 3348.44 | + | 1439.97i | 0.210749 | + | 0.0906315i | ||||
\(633\) | 16988.1 | + | 19949.8i | 1.06669 | + | 1.25266i | ||||
\(634\) | 1770.65 | − | 22890.0i | 0.110917 | − | 1.43388i | ||||
\(635\) | 10411.7 | − | 8736.49i | 0.650673 | − | 0.545979i | ||||
\(636\) | −1059.13 | − | 352.957i | −0.0660336 | − | 0.0220057i | ||||
\(637\) | −22171.1 | + | 8069.62i | −1.37904 | + | 0.501931i | ||||
\(638\) | 1258.26 | + | 323.612i | 0.0780802 | + | 0.0200814i | ||||
\(639\) | 2011.20 | − | 3603.31i | 0.124510 | − | 0.223074i | ||||
\(640\) | −9428.52 | + | 3253.32i | −0.582336 | + | 0.200936i | ||||
\(641\) | 3982.27 | + | 702.182i | 0.245383 | + | 0.0432676i | 0.294987 | − | 0.955501i | \(-0.404685\pi\) |
−0.0496039 | + | 0.998769i | \(0.515796\pi\) | |||||||
\(642\) | −15245.8 | − | 6790.22i | −0.937232 | − | 0.417428i | ||||
\(643\) | 518.935 | − | 1425.76i | 0.0318271 | − | 0.0874442i | −0.922761 | − | 0.385372i | \(-0.874073\pi\) |
0.954588 | + | 0.297928i | \(0.0962954\pi\) | |||||||
\(644\) | −1672.46 | − | 8482.71i | −0.102336 | − | 0.519046i | ||||
\(645\) | 1048.83 | − | 1847.47i | 0.0640274 | − | 0.112781i | ||||
\(646\) | −1286.94 | − | 13180.4i | −0.0783808 | − | 0.802747i | ||||
\(647\) | 13928.2 | 0.846326 | 0.423163 | − | 0.906054i | \(-0.360920\pi\) | ||||
0.423163 | + | 0.906054i | \(0.360920\pi\) | |||||||
\(648\) | 16158.1 | + | 3318.65i | 0.979553 | + | 0.201187i | ||||
\(649\) | −2406.68 | −0.145563 | ||||||||
\(650\) | 1658.02 | + | 16980.8i | 0.100051 | + | 1.02468i | ||||
\(651\) | −2024.56 | + | 3566.17i | −0.121888 | + | 0.214700i | ||||
\(652\) | 1241.47 | + | 6296.72i | 0.0745700 | + | 0.378218i | ||||
\(653\) | 1429.67 | − | 3927.99i | 0.0856775 | − | 0.235397i | −0.889454 | − | 0.457025i | \(-0.848915\pi\) |
0.975131 | + | 0.221628i | \(0.0711371\pi\) | |||||||
\(654\) | −15726.0 | − | 7004.12i | −0.940271 | − | 0.418781i | ||||
\(655\) | 5794.17 | + | 1021.67i | 0.345644 | + | 0.0609464i | ||||
\(656\) | 13642.9 | + | 7160.59i | 0.811991 | + | 0.426180i | ||||
\(657\) | 14743.3 | − | 214.036i | 0.875483 | − | 0.0127098i | ||||
\(658\) | −4512.01 | − | 1160.44i | −0.267320 | − | 0.0687519i | ||||
\(659\) | −9091.93 | + | 3309.19i | −0.537437 | + | 0.195611i | −0.596456 | − | 0.802646i | \(-0.703425\pi\) |
0.0590189 | + | 0.998257i | \(0.481203\pi\) | |||||||
\(660\) | 5899.77 | + | 1966.10i | 0.347952 | + | 0.115955i | ||||
\(661\) | 10369.1 | − | 8700.73i | 0.610155 | − | 0.511981i | −0.284537 | − | 0.958665i | \(-0.591840\pi\) |
0.894692 | + | 0.446684i | \(0.147395\pi\) | |||||||
\(662\) | 600.053 | − | 7757.18i | 0.0352292 | − | 0.455425i | ||||
\(663\) | −10319.2 | − | 12118.2i | −0.604470 | − | 0.709851i | ||||
\(664\) | 10385.5 | − | 24149.9i | 0.606982 | − | 1.41144i | ||||
\(665\) | −4463.15 | + | 2576.80i | −0.260261 | + | 0.150262i | ||||
\(666\) | −14009.7 | − | 6118.25i | −0.815115 | − | 0.355972i | ||||
\(667\) | 3144.51 | + | 1815.48i | 0.182542 | + | 0.105391i | ||||
\(668\) | 24601.8 | + | 3829.03i | 1.42496 | + | 0.221781i | ||||
\(669\) | −14761.7 | + | 17853.9i | −0.853093 | + | 1.03179i | ||||
\(670\) | 6622.27 | + | 13836.2i | 0.381852 | + | 0.797818i | ||||
\(671\) | −2288.47 | − | 12978.6i | −0.131662 | − | 0.746695i | ||||
\(672\) | 5797.64 | + | 1200.69i | 0.332810 | + | 0.0689249i | ||||
\(673\) | 4195.46 | + | 3520.41i | 0.240302 | + | 0.201637i | 0.754983 | − | 0.655745i | \(-0.227645\pi\) |
−0.514681 | + | 0.857382i | \(0.672090\pi\) | |||||||
\(674\) | −1353.07 | − | 1326.10i | −0.0773268 | − | 0.0757856i | ||||
\(675\) | −8486.33 | − | 6811.59i | −0.483910 | − | 0.388412i | ||||
\(676\) | 620.214 | + | 30804.0i | 0.0352875 | + | 1.75262i | ||||
\(677\) | 5487.23 | − | 6539.42i | 0.311508 | − | 0.371241i | −0.587461 | − | 0.809252i | \(-0.699873\pi\) |
0.898970 | + | 0.438011i | \(0.144317\pi\) | |||||||
\(678\) | −15958.4 | + | 16521.2i | −0.903953 | + | 0.935829i | ||||
\(679\) | 8291.50 | − | 1462.02i | 0.468628 | − | 0.0826318i | ||||
\(680\) | −5482.24 | + | 2760.90i | −0.309168 | + | 0.155699i | ||||
\(681\) | 506.319 | − | 2998.59i | 0.0284907 | − | 0.168731i | ||||
\(682\) | −4481.37 | − | 6264.89i | −0.251614 | − | 0.351752i | ||||
\(683\) | −5308.39 | + | 9194.41i | −0.297394 | + | 0.515101i | −0.975539 | − | 0.219827i | \(-0.929451\pi\) |
0.678145 | + | 0.734928i | \(0.262784\pi\) | |||||||
\(684\) | −5332.07 | − | 25117.4i | −0.298066 | − | 1.40407i | ||||
\(685\) | 2759.11 | + | 4778.93i | 0.153898 | + | 0.266560i | ||||
\(686\) | 4758.22 | − | 10478.1i | 0.264824 | − | 0.583172i | ||||
\(687\) | 5304.64 | + | 28857.7i | 0.294592 | + | 1.60261i | ||||
\(688\) | 2557.20 | + | 2809.65i | 0.141704 | + | 0.155693i | ||||
\(689\) | 1342.55 | + | 1599.99i | 0.0742337 | + | 0.0884683i | ||||
\(690\) | 14407.2 | + | 9720.52i | 0.794891 | + | 0.536310i | ||||
\(691\) | −6350.52 | − | 17447.9i | −0.349617 | − | 0.960564i | −0.982491 | − | 0.186309i | \(-0.940347\pi\) |
0.632875 | − | 0.774254i | \(-0.281875\pi\) | |||||||
\(692\) | 8146.53 | + | 13476.2i | 0.447521 | + | 0.740302i | ||||
\(693\) | −2413.65 | − | 2793.11i | −0.132304 | − | 0.153105i | ||||
\(694\) | 7415.94 | − | 2067.32i | 0.405627 | − | 0.113076i | ||||
\(695\) | 310.334 | − | 1759.99i | 0.0169376 | − | 0.0960581i | ||||
\(696\) | −1981.93 | + | 1501.43i | −0.107938 | + | 0.0817694i | ||||
\(697\) | 8910.45 | + | 3243.14i | 0.484229 | + | 0.176245i | ||||
\(698\) | −18088.6 | + | 26394.8i | −0.980896 | + | 1.43131i | ||||
\(699\) | −170.169 | − | 23444.6i | −0.00920798 | − | 1.26861i | ||||
\(700\) | −3041.96 | − | 2449.87i | −0.164251 | − | 0.132281i | ||||
\(701\) | − | 8604.18i | − | 0.463588i | −0.972765 | − | 0.231794i | \(-0.925540\pi\) | ||
0.972765 | − | 0.231794i | \(-0.0744596\pi\) | |||||||
\(702\) | −22505.5 | − | 21116.1i | −1.20999 | − | 1.13529i | ||||
\(703\) | 23796.8i | 1.27669i | ||||||||
\(704\) | −6621.24 | + | 8935.15i | −0.354471 | + | 0.478347i | ||||
\(705\) | 8076.12 | − | 4741.24i | 0.431439 | − | 0.253284i | ||||
\(706\) | −13019.2 | − | 8922.22i | −0.694030 | − | 0.475626i | ||||
\(707\) | 4672.85 | + | 1700.78i | 0.248572 | + | 0.0904730i | ||||
\(708\) | 2862.87 | − | 3608.08i | 0.151968 | − | 0.191525i | ||||
\(709\) | 533.906 | − | 3027.93i | 0.0282810 | − | 0.160390i | −0.967397 | − | 0.253266i | \(-0.918495\pi\) |
0.995678 | + | 0.0928767i | \(0.0296062\pi\) | |||||||
\(710\) | 799.500 | + | 2867.98i | 0.0422601 | + | 0.151596i | ||||
\(711\) | 4293.73 | + | 692.992i | 0.226480 | + | 0.0365531i | ||||
\(712\) | 7247.78 | − | 30732.5i | 0.381491 | − | 1.61763i | ||||
\(713\) | −7362.69 | − | 20228.8i | −0.386725 | − | 1.06252i | ||||
\(714\) | 3634.77 | + | 254.641i | 0.190515 | + | 0.0133469i | ||||
\(715\) | −7478.50 | − | 8912.53i | −0.391161 | − | 0.466168i | ||||
\(716\) | −2079.43 | − | 2379.21i | −0.108536 | − | 0.124183i | ||||
\(717\) | 4041.91 | + | 1438.00i | 0.210527 | + | 0.0748996i | ||||
\(718\) | 27259.8 | + | 12378.9i | 1.41689 | + | 0.643423i | ||||
\(719\) | 13481.0 | + | 23349.8i | 0.699244 | + | 1.21113i | 0.968729 | + | 0.248122i | \(0.0798134\pi\) |
−0.269484 | + | 0.963005i | \(0.586853\pi\) | |||||||
\(720\) | −9965.66 | + | 6506.11i | −0.515831 | + | 0.336762i | ||||
\(721\) | 3727.69 | − | 6456.55i | 0.192547 | − | 0.333502i | ||||
\(722\) | −16729.9 | + | 11967.1i | −0.862356 | + | 0.616856i | ||||
\(723\) | 12742.6 | − | 4742.94i | 0.655466 | − | 0.243972i | ||||
\(724\) | 4590.36 | − | 13448.3i | 0.235635 | − | 0.690333i | ||||
\(725\) | 1615.36 | − | 284.832i | 0.0827490 | − | 0.0145909i | ||||
\(726\) | −12139.0 | + | 3479.10i | −0.620551 | + | 0.177853i | ||||
\(727\) | −4010.50 | + | 4779.53i | −0.204596 | + | 0.243828i | −0.858579 | − | 0.512681i | \(-0.828652\pi\) |
0.653983 | + | 0.756509i | \(0.273097\pi\) | |||||||
\(728\) | −8065.39 | − | 7592.43i | −0.410609 | − | 0.386530i | ||||
\(729\) | 19664.3 | − | 856.910i | 0.999052 | − | 0.0435355i | ||||
\(730\) | −7446.42 | + | 7597.86i | −0.377540 | + | 0.385218i | ||||
\(731\) | 1791.05 | + | 1502.87i | 0.0906217 | + | 0.0760407i | ||||
\(732\) | 22179.7 | + | 12007.9i | 1.11992 | + | 0.606316i | ||||
\(733\) | 4748.06 | + | 26927.6i | 0.239254 | + | 1.35688i | 0.833466 | + | 0.552571i | \(0.186353\pi\) |
−0.594212 | + | 0.804309i | \(0.702536\pi\) | |||||||
\(734\) | 22631.9 | − | 10832.1i | 1.13809 | − | 0.544713i | ||||
\(735\) | 3787.38 | + | 10175.3i | 0.190067 | + | 0.510643i | ||||
\(736\) | −24530.6 | + | 19085.3i | −1.22854 | + | 0.955831i | ||||
\(737\) | 14811.9 | + | 8551.67i | 0.740304 | + | 0.427415i | ||||
\(738\) | 17870.5 | + | 4320.53i | 0.891357 | + | 0.215503i | ||||
\(739\) | −21802.2 | + | 12587.5i | −1.08526 | + | 0.626575i | −0.932310 | − | 0.361659i | \(-0.882210\pi\) |
−0.152949 | + | 0.988234i | \(0.548877\pi\) | |||||||
\(740\) | 10286.7 | − | 3980.32i | 0.511008 | − | 0.197729i | ||||
\(741\) | −16102.1 | + | 45259.6i | −0.798279 | + | 2.24379i | ||||
\(742\) | −476.716 | − | 36.8761i | −0.0235860 | − | 0.00182448i | ||||
\(743\) | 4654.11 | − | 3905.26i | 0.229802 | − | 0.192826i | −0.520615 | − | 0.853792i | \(-0.674297\pi\) |
0.750417 | + | 0.660965i | \(0.229853\pi\) | |||||||
\(744\) | 14723.1 | + | 733.981i | 0.725505 | + | 0.0361681i | ||||
\(745\) | −12394.0 | + | 4511.04i | −0.609504 | + | 0.221841i | ||||
\(746\) | 8486.45 | − | 32996.9i | 0.416503 | − | 1.61944i | ||||
\(747\) | 4998.06 | − | 30967.6i | 0.244805 | − | 1.51679i | ||||
\(748\) | −3302.04 | + | 5994.85i | −0.161410 | + | 0.293039i | ||||
\(749\) | −7039.35 | − | 1241.23i | −0.343407 | − | 0.0605520i | ||||
\(750\) | 20392.2 | − | 2140.64i | 0.992824 | − | 0.104220i | ||||
\(751\) | −9669.55 | + | 26566.9i | −0.469836 | + | 1.29086i | 0.448046 | + | 0.894010i | \(0.352120\pi\) |
−0.917882 | + | 0.396853i | \(0.870102\pi\) | |||||||
\(752\) | 3569.70 | + | 16362.7i | 0.173103 | + | 0.793464i | ||||
\(753\) | −14781.2 | − | 25177.9i | −0.715346 | − | 1.21850i | ||||
\(754\) | 4629.78 | − | 452.055i | 0.223616 | − | 0.0218340i | ||||
\(755\) | −18662.4 | −0.899594 | ||||||||
\(756\) | 7058.58 | − | 295.971i | 0.339574 | − | 0.0142386i | ||||
\(757\) | 1314.46 | 0.0631108 | 0.0315554 | − | 0.999502i | \(-0.489954\pi\) | ||||
0.0315554 | + | 0.999502i | \(0.489954\pi\) | |||||||
\(758\) | −1658.84 | + | 161.971i | −0.0794880 | + | 0.00776127i | ||||
\(759\) | 19378.0 | − | 140.652i | 0.926715 | − | 0.00672642i | ||||
\(760\) | 15489.6 | + | 10163.1i | 0.739296 | + | 0.485070i | ||||
\(761\) | −12005.2 | + | 32984.1i | −0.571865 | + | 1.57119i | 0.229689 | + | 0.973264i | \(0.426229\pi\) |
−0.801554 | + | 0.597922i | \(0.795993\pi\) | |||||||
\(762\) | 17044.4 | + | 23466.0i | 0.810307 | + | 1.11560i | ||||
\(763\) | −7261.10 | − | 1280.33i | −0.344521 | − | 0.0607483i | ||||
\(764\) | 20738.3 | + | 11422.9i | 0.982047 | + | 0.540924i | ||||
\(765\) | −5541.85 | + | 4788.96i | −0.261916 | + | 0.226333i | ||||
\(766\) | 3005.09 | − | 11684.3i | 0.141747 | − | 0.551139i | ||||
\(767\) | −8097.37 | + | 2947.20i | −0.381198 | + | 0.138745i | ||||
\(768\) | −5519.20 | − | 20555.4i | −0.259319 | − | 0.965792i | ||||
\(769\) | −9560.82 | + | 8022.48i | −0.448338 | + | 0.376200i | −0.838819 | − | 0.544411i | \(-0.816753\pi\) |
0.390481 | + | 0.920611i | \(0.372309\pi\) | |||||||
\(770\) | 2655.49 | + | 205.414i | 0.124282 | + | 0.00961376i | ||||
\(771\) | −36533.1 | + | 6715.54i | −1.70650 | + | 0.313689i | ||||
\(772\) | 5545.65 | + | 14332.1i | 0.258539 | + | 0.668164i | ||||
\(773\) | 4534.48 | − | 2617.98i | 0.210988 | − | 0.121814i | −0.390782 | − | 0.920483i | \(-0.627796\pi\) |
0.601771 | + | 0.798669i | \(0.294462\pi\) | |||||||
\(774\) | 3776.24 | + | 2508.12i | 0.175367 | + | 0.116476i | ||||
\(775\) | −8421.92 | − | 4862.40i | −0.390354 | − | 0.225371i | ||||
\(776\) | −18100.4 | − | 24256.9i | −0.837330 | − | 1.12213i | ||||
\(777\) | −6456.05 | − | 1090.12i | −0.298082 | − | 0.0503318i | ||||
\(778\) | −6488.58 | + | 3105.56i | −0.299006 | + | 0.143110i | ||||
\(779\) | −4969.65 | − | 28184.3i | −0.228570 | − | 1.29629i | ||||
\(780\) | 22257.7 | − | 609.784i | 1.02174 | − | 0.0279920i | ||||
\(781\) | 2543.06 | + | 2133.88i | 0.116515 | + | 0.0977675i | ||||
\(782\) | −13388.4 | + | 13660.6i | −0.612233 | + | 0.624684i | ||||
\(783\) | −1857.16 | + | 2313.77i | −0.0847630 | + | 0.105603i | ||||
\(784\) | −19400.5 | + | 781.544i | −0.883770 | + | 0.0356024i | ||||
\(785\) | 11828.9 | − | 14097.1i | 0.537823 | − | 0.640953i | ||||
\(786\) | −3038.87 | + | 12181.5i | −0.137904 | + | 0.552800i | ||||
\(787\) | −13238.7 | + | 2334.34i | −0.599629 | + | 0.105731i | −0.465220 | − | 0.885195i | \(-0.654025\pi\) |
−0.134409 | + | 0.990926i | \(0.542914\pi\) | |||||||
\(788\) | −30337.1 | − | 10355.1i | −1.37146 | − | 0.468128i | ||||
\(789\) | −4428.11 | − | 3661.19i | −0.199804 | − | 0.165199i | ||||
\(790\) | −2552.27 | + | 1825.67i | −0.114944 | + | 0.0822210i | ||||
\(791\) | −4918.89 | + | 8519.77i | −0.221107 | + | 0.382969i | ||||
\(792\) | −5065.00 | + | 12265.5i | −0.227244 | + | 0.550296i | ||||
\(793\) | −23593.1 | − | 40864.5i | −1.05652 | − | 1.82994i | ||||
\(794\) | −815.834 | − | 370.479i | −0.0364646 | − | 0.0165589i | ||||
\(795\) | 731.768 | − | 623.132i | 0.0326454 | − | 0.0277990i | ||||
\(796\) | −12312.8 | + | 10761.3i | −0.548259 | + | 0.479178i | ||||
\(797\) | 2269.66 | + | 2704.88i | 0.100873 | + | 0.120215i | 0.814119 | − | 0.580698i | \(-0.197220\pi\) |
−0.713246 | + | 0.700914i | \(0.752776\pi\) | |||||||
\(798\) | −4819.58 | − | 9884.85i | −0.213799 | − | 0.438496i | ||||
\(799\) | 3525.11 | + | 9685.15i | 0.156082 | + | 0.428831i | ||||
\(800\) | −2947.08 | + | 13727.8i | −0.130244 | + | 0.606687i | ||||
\(801\) | −546.922 | − | 37673.4i | −0.0241255 | − | 1.66183i | ||||
\(802\) | 9770.89 | + | 35050.4i | 0.430202 | + | 1.54323i | ||||
\(803\) | −2059.80 | + | 11681.7i | −0.0905213 | + | 0.513372i | ||||
\(804\) | −30440.2 | + | 12033.3i | −1.33525 | + | 0.527837i | ||||
\(805\) | 6994.67 | + | 2545.85i | 0.306248 | + | 0.111465i | ||||
\(806\) | −22749.7 | − | 15590.6i | −0.994199 | − | 0.681336i | ||||
\(807\) | −512.811 | − | 291.129i | −0.0223690 | − | 0.0126992i | ||||
\(808\) | −2094.94 | − | 17752.7i | −0.0912127 | − | 0.772944i | ||||
\(809\) | − | 11649.6i | − | 0.506278i | −0.967430 | − | 0.253139i | \(-0.918537\pi\) | ||
0.967430 | − | 0.253139i | \(-0.0814631\pi\) | |||||||
\(810\) | −9641.63 | + | 10426.7i | −0.418238 | + | 0.452291i | ||||
\(811\) | − | 10587.5i | − | 0.458419i | −0.973377 | − | 0.229210i | \(-0.926386\pi\) | ||
0.973377 | − | 0.229210i | \(-0.0736141\pi\) | |||||||
\(812\) | −667.951 | + | 829.382i | −0.0288676 | + | 0.0358443i | ||||
\(813\) | 12557.5 | + | 7129.06i | 0.541711 | + | 0.307536i | ||||
\(814\) | 6952.29 | − | 10144.7i | 0.299358 | − | 0.436821i | ||||
\(815\) | −5192.14 | − | 1889.78i | −0.223157 | − | 0.0812224i | ||||
\(816\) | −5059.48 | − | 12081.6i | −0.217056 | − | 0.518309i | ||||
\(817\) | 1225.37 | − | 6949.41i | 0.0524727 | − | 0.297587i | ||||
\(818\) | 37735.3 | − | 10519.3i | 1.61294 | − | 0.449634i | ||||
\(819\) | −11541.3 | − | 6441.80i | −0.492410 | − | 0.274841i | ||||
\(820\) | −11352.0 | + | 6862.43i | −0.483451 | + | 0.292252i | ||||
\(821\) | −11775.5 | − | 32352.9i | −0.500569 | − | 1.37530i | −0.890721 | − | 0.454551i | \(-0.849800\pi\) |
0.390152 | − | 0.920750i | \(-0.372422\pi\) | |||||||
\(822\) | −10584.2 | + | 5160.57i | −0.449108 | + | 0.218973i | ||||
\(823\) | −11414.4 | − | 13603.2i | −0.483453 | − | 0.576157i | 0.468087 | − | 0.883682i | \(-0.344943\pi\) |
−0.951540 | + | 0.307526i | \(0.900499\pi\) | |||||||
\(824\) | −26756.8 | − | 1528.65i | −1.13121 | − | 0.0646275i | ||||
\(825\) | 6665.09 | − | 5675.62i | 0.281271 | − | 0.239515i | ||||
\(826\) | 815.641 | − | 1796.13i | 0.0343581 | − | 0.0756602i | ||||
\(827\) | −18854.2 | − | 32656.4i | −0.792775 | − | 1.37313i | −0.924243 | − | 0.381806i | \(-0.875302\pi\) |
0.131468 | − | 0.991320i | \(-0.458031\pi\) | |||||||
\(828\) | −22840.3 | + | 29218.7i | −0.958642 | + | 1.22635i | ||||
\(829\) | −12089.9 | + | 20940.4i | −0.506515 | + | 0.877310i | 0.493456 | + | 0.869771i | \(0.335733\pi\) |
−0.999972 | + | 0.00753970i | \(0.997600\pi\) | |||||||
\(830\) | 13167.3 | + | 18407.7i | 0.550654 | + | 0.769806i | ||||
\(831\) | −742.517 | − | 613.917i | −0.0309960 | − | 0.0256276i | ||||
\(832\) | −11335.5 | + | 38171.0i | −0.472342 | + | 1.59056i | ||||
\(833\) | −11767.6 | + | 2074.94i | −0.489463 | + | 0.0863055i | ||||
\(834\) | 3700.17 | + | 923.064i | 0.153629 | + | 0.0383250i | ||||
\(835\) | −13778.3 | + | 16420.4i | −0.571041 | + | 0.680540i | ||||
\(836\) | 20652.4 | − | 415.819i | 0.854399 | − | 0.0172026i | ||||
\(837\) | 17252.2 | − | 3430.93i | 0.712454 | − | 0.141685i | ||||
\(838\) | −28779.8 | − | 28206.1i | −1.18637 | − | 1.16273i | ||||
\(839\) | −28524.8 | − | 23935.1i | −1.17376 | − | 0.984901i | −1.00000 | 0.000112940i | \(-0.999964\pi\) | |
−0.173759 | − | 0.984788i | \(-0.555592\pi\) | |||||||
\(840\) | −3466.80 | + | 3736.74i | −0.142400 | + | 0.153488i | ||||
\(841\) | 4157.45 | + | 23578.1i | 0.170464 | + | 0.966749i | ||||
\(842\) | 7311.34 | + | 15275.9i | 0.299246 | + | 0.625227i | ||||
\(843\) | 43791.8 | + | 7394.36i | 1.78917 | + | 0.302106i | ||||
\(844\) | 6204.13 | − | 39862.0i | 0.253027 | − | 1.62572i | ||||
\(845\) | −22971.6 | − | 13262.7i | −0.935204 | − | 0.539940i | ||||
\(846\) | 8888.16 | + | 17898.5i | 0.361207 | + | 0.727378i | ||||
\(847\) | −4683.73 | + | 2704.15i | −0.190006 | + | 0.109700i | ||||
\(848\) | 652.402 | + | 1590.18i | 0.0264193 | + | 0.0643949i | ||||
\(849\) | 9508.41 | − | 1747.84i | 0.384367 | − | 0.0706546i | ||||
\(850\) | −666.414 | + | 8615.07i | −0.0268915 | + | 0.347640i | ||||
\(851\) | 26329.5 | − | 22093.1i | 1.06059 | − | 0.889942i | ||||
\(852\) | −6224.22 | + | 1274.18i | −0.250280 | + | 0.0512354i | ||||
\(853\) | −5728.00 | + | 2084.82i | −0.229921 | + | 0.0836845i | −0.454412 | − | 0.890792i | \(-0.650150\pi\) |
0.224490 | + | 0.974476i | \(0.427928\pi\) | |||||||
\(854\) | 10461.6 | + | 2690.62i | 0.419192 | + | 0.107812i | ||||
\(855\) | 20880.5 | + | 7258.38i | 0.835201 | + | 0.290329i | ||||
\(856\) | 7396.76 | + | 24607.6i | 0.295346 | + | 0.982558i | ||||
\(857\) | −8030.07 | − | 1415.92i | −0.320072 | − | 0.0564374i | 0.0113039 | − | 0.999936i | \(-0.496402\pi\) |
−0.331376 | + | 0.943499i | \(0.607513\pi\) | |||||||
\(858\) | 20087.1 | − | 14590.2i | 0.799257 | − | 0.580536i | ||||
\(859\) | 13633.7 | − | 37458.2i | 0.541531 | − | 1.48784i | −0.303345 | − | 0.952881i | \(-0.598103\pi\) |
0.844876 | − | 0.534963i | \(-0.179674\pi\) | |||||||
\(860\) | −3208.99 | + | 632.688i | −0.127239 | + | 0.0250866i | ||||
\(861\) | 7874.03 | − | 57.1524i | 0.311668 | − | 0.00226219i | ||||
\(862\) | −4167.59 | − | 42683.0i | −0.164674 | − | 1.68653i | ||||
\(863\) | 10794.1 | 0.425767 | 0.212884 | − | 0.977078i | \(-0.431715\pi\) | ||||
0.212884 | + | 0.977078i | \(0.431715\pi\) | |||||||
\(864\) | −12363.2 | − | 22183.9i | −0.486811 | − | 0.873507i | ||||
\(865\) | −13557.2 | −0.532899 | ||||||||
\(866\) | −248.342 | − | 2543.43i | −0.00974482 | − | 0.0998028i | ||||
\(867\) | 8843.47 | + | 15063.8i | 0.346413 | + | 0.590072i | ||||
\(868\) | 6194.33 | − | 1221.28i | 0.242223 | − | 0.0477569i | ||||
\(869\) | −1196.69 | + | 3287.88i | −0.0467146 | + | 0.128347i | ||||
\(870\) | −223.481 | − | 2128.93i | −0.00870889 | − | 0.0829627i | ||||
\(871\) | 60307.7 | + | 10633.9i | 2.34609 | + | 0.413680i | ||||
\(872\) | 7629.76 | + | 25382.8i | 0.296303 | + | 0.985744i | ||||
\(873\) | −27999.4 | − | 22810.0i | −1.08549 | − | 0.884307i | ||||
\(874\) | 55910.3 | + | 14379.5i | 2.16384 | + | 0.556516i | ||||
\(875\) | 8252.13 | − | 3003.53i | 0.318826 | − | 0.116043i | ||||
\(876\) | −15062.9 | − | 16984.0i | −0.580967 | − | 0.655065i | ||||
\(877\) | 10855.7 | − | 9108.99i | 0.417982 | − | 0.350728i | −0.409413 | − | 0.912349i | \(-0.634266\pi\) |
0.827395 | + | 0.561621i | \(0.189822\pi\) | |||||||
\(878\) | −3330.28 | + | 43052.1i | −0.128008 | + | 1.65483i | ||||
\(879\) | −6647.22 | + | 18683.9i | −0.255069 | + | 0.716944i | ||||
\(880\) | −3634.13 | − | 8857.88i | −0.139212 | − | 0.339317i | ||||
\(881\) | −3608.12 | + | 2083.15i | −0.137980 | + | 0.0796630i | −0.567401 | − | 0.823442i | \(-0.692051\pi\) |
0.429421 | + | 0.903105i | \(0.358718\pi\) | |||||||
\(882\) | −22224.7 | + | 6544.65i | −0.848463 | + | 0.249852i | ||||
\(883\) | −43342.4 | − | 25023.7i | −1.65186 | − | 0.953699i | −0.976309 | − | 0.216381i | \(-0.930575\pi\) |
−0.675546 | − | 0.737318i | \(-0.736092\pi\) | |||||||
\(884\) | −3768.61 | + | 24213.6i | −0.143385 | + | 0.921257i | ||||
\(885\) | 1383.23 | + | 3716.25i | 0.0525388 | + | 0.141153i | ||||
\(886\) | −989.920 | − | 2068.28i | −0.0375361 | − | 0.0784257i | ||||
\(887\) | 4744.33 | + | 26906.4i | 0.179593 | + | 1.01852i | 0.932708 | + | 0.360633i | \(0.117439\pi\) |
−0.753115 | + | 0.657889i | \(0.771449\pi\) | |||||||
\(888\) | 6938.77 | + | 22490.5i | 0.262218 | + | 0.849924i | ||||
\(889\) | 9515.49 | + | 7984.45i | 0.358987 | + | 0.301226i | ||||
\(890\) | 19414.7 | + | 19027.7i | 0.731214 | + | 0.716640i | ||||
\(891\) | −2295.79 | + | 15667.1i | −0.0863210 | + | 0.589079i | ||||
\(892\) | 35659.3 | − | 717.971i | 1.33852 | − | 0.0269501i | ||||
\(893\) | 19995.4 | − | 23829.6i | 0.749295 | − | 0.892975i | ||||
\(894\) | −7754.23 | − | 27055.4i | −0.290090 | − | 1.01216i | ||||
\(895\) | 2679.07 | − | 472.392i | 0.100057 | − | 0.0176428i | ||||
\(896\) | −4424.42 | − | 7969.69i | −0.164966 | − | 0.297153i | ||||
\(897\) | 65025.8 | − | 24203.4i | 2.42046 | − | 0.900923i | ||||
\(898\) | −18567.8 | − | 25957.6i | −0.689997 | − | 0.964605i | ||||
\(899\) | −1325.72 | + | 2296.21i | −0.0491827 | + | 0.0851869i | ||||
\(900\) | 580.367 | + | 16743.7i | 0.0214951 | + | 0.620137i | ||||
\(901\) | 528.892 | + | 916.068i | 0.0195560 | + | 0.0338720i | ||||
\(902\) | −6115.51 | + | 13467.0i | −0.225747 | + | 0.497121i | ||||
\(903\) | 1829.23 | + | 650.790i | 0.0674121 | + | 0.0239833i | ||||
\(904\) | 35307.1 | + | 2017.14i | 1.29900 | + | 0.0742135i | ||||
\(905\) | 7863.76 | + | 9371.67i | 0.288840 | + | 0.344226i | ||||
\(906\) | 2783.08 | − | 39726.0i | 0.102055 | − | 1.45674i | ||||
\(907\) | −549.041 | − | 1508.48i | −0.0200999 | − | 0.0552240i | 0.929237 | − | 0.369484i | \(-0.120466\pi\) |
−0.949337 | + | 0.314260i | \(0.898243\pi\) | |||||||
\(908\) | −4006.76 | + | 2422.14i | −0.146442 | + | 0.0885258i | ||||
\(909\) | −7585.58 | − | 19935.9i | −0.276785 | − | 0.727428i | ||||
\(910\) | 9186.04 | − | 2560.77i | 0.334631 | − | 0.0932842i | ||||
\(911\) | 7737.20 | − | 43879.9i | 0.281389 | − | 1.59583i | −0.436519 | − | 0.899695i | \(-0.643789\pi\) |
0.717907 | − | 0.696139i | \(-0.245100\pi\) | |||||||
\(912\) | −23943.7 | + | 31456.6i | −0.869360 | + | 1.14214i | ||||
\(913\) | 23713.2 | + | 8630.88i | 0.859574 | + | 0.312859i | ||||
\(914\) | 5061.74 | − | 7386.05i | 0.183181 | − | 0.267296i | ||||
\(915\) | −18725.5 | + | 10993.1i | −0.676551 | + | 0.397182i | ||||
\(916\) | 28334.6 | − | 35182.6i | 1.02206 | − | 1.26907i | ||||
\(917\) | 5377.10i | 0.193640i | ||||||||
\(918\) | −9367.66 | − | 12510.9i | −0.336796 | − | 0.449807i | ||||
\(919\) | − | 23661.4i | − | 0.849310i | −0.905355 | − | 0.424655i | \(-0.860395\pi\) | ||
0.905355 | − | 0.424655i | \(-0.139605\pi\) | |||||||
\(920\) | −3135.86 | − | 26573.6i | −0.112376 | − | 0.952287i | ||||
\(921\) | 33.4269 | + | 4605.30i | 0.00119593 | + | 0.164766i | ||||
\(922\) | 18296.8 | + | 12539.0i | 0.653549 | + | 0.447884i | ||||
\(923\) | 11169.4 | + | 4065.33i | 0.398315 | + | 0.144975i | ||||
\(924\) | −833.265 | + | 5622.02i | −0.0296671 | + | 0.200163i | ||||
\(925\) | 2696.22 | − | 15291.0i | 0.0958390 | − | 0.543530i | ||||
\(926\) | −923.959 | − | 3314.45i | −0.0327896 | − | 0.117624i | ||||
\(927\) | −31409.6 | + | 6009.74i | −1.11287 | + | 0.212930i | ||||
\(928\) | 3742.83 | + | 803.513i | 0.132397 | + | 0.0284231i | ||||
\(929\) | 3271.29 | + | 8987.80i | 0.115530 | + | 0.317417i | 0.983958 | − | 0.178398i | \(-0.0570916\pi\) |
−0.868428 | + | 0.495815i | \(0.834869\pi\) | |||||||
\(930\) | −7098.22 | + | 10520.6i | −0.250279 | + | 0.370951i | ||||
\(931\) | 23181.7 | + | 27626.9i | 0.816057 | + | 0.972539i | ||||
\(932\) | −27178.7 | + | 23754.1i | −0.955222 | + | 0.834864i | ||||
\(933\) | −1283.65 | − | 6983.18i | −0.0450428 | − | 0.245037i | ||||
\(934\) | 46668.2 | + | 21192.5i | 1.63493 | + | 0.742440i | ||||
\(935\) | −2946.13 | − | 5102.84i | −0.103047 | − | 0.178482i | ||||
\(936\) | −2021.21 | + | 47470.2i | −0.0705827 | + | 1.65771i | ||||
\(937\) | 14679.5 | − | 25425.6i | 0.511801 | − | 0.886465i | −0.488106 | − | 0.872784i | \(-0.662312\pi\) |
0.999906 | − | 0.0136802i | \(-0.00435469\pi\) | |||||||
\(938\) | −11402.1 | + | 8156.08i | −0.396899 | + | 0.283908i | ||||
\(939\) | −4268.00 | + | 25276.5i | −0.148329 | + | 0.878452i | ||||
\(940\) | −13645.3 | − | 4657.63i | −0.473470 | − | 0.161612i | ||||
\(941\) | −13263.5 | + | 2338.72i | −0.459488 | + | 0.0810202i | −0.398601 | − | 0.917124i | \(-0.630504\pi\) |
−0.0608874 | + | 0.998145i | \(0.519393\pi\) | |||||||
\(942\) | 28244.1 | + | 27282.1i | 0.976904 | + | 0.943629i | ||||
\(943\) | −26570.1 | + | 31665.0i | −0.917542 | + | 1.09348i | ||||
\(944\) | −7085.49 | + | 285.437i | −0.244293 | + | 0.00984129i | ||||
\(945\) | −2925.72 | + | 5332.35i | −0.100713 | + | 0.183557i | ||||
\(946\) | −2552.67 | + | 2604.58i | −0.0877319 | + | 0.0895160i | ||||
\(947\) | −28827.8 | − | 24189.4i | −0.989205 | − | 0.830041i | −0.00375241 | − | 0.999993i | \(-0.501194\pi\) |
−0.985452 | + | 0.169952i | \(0.945639\pi\) | |||||||
\(948\) | −3505.65 | − | 5705.19i | −0.120103 | − | 0.195460i | ||||
\(949\) | 7375.04 | + | 41825.9i | 0.252270 | + | 1.43069i | ||||
\(950\) | 23523.7 | − | 11258.9i | 0.803380 | − | 0.384514i | ||||
\(951\) | −26875.8 | + | 32505.6i | −0.916412 | + | 1.10838i | ||||
\(952\) | −3354.94 | − | 4496.05i | −0.114216 | − | 0.153065i | ||||
\(953\) | −15067.3 | − | 8699.11i | −0.512149 | − | 0.295689i | 0.221568 | − | 0.975145i | \(-0.428883\pi\) |
−0.733716 | + | 0.679456i | \(0.762216\pi\) | |||||||
\(954\) | 1217.32 | + | 1650.62i | 0.0413125 | + | 0.0560175i | ||||
\(955\) | −17652.5 | + | 10191.7i | −0.598138 | + | 0.345335i | ||||
\(956\) | −2383.54 | − | 6159.96i | −0.0806371 | − | 0.208397i | ||||
\(957\) | −1547.44 | − | 1817.22i | −0.0522692 | − | 0.0613817i | ||||
\(958\) | −29856.7 | − | 2309.55i | −1.00692 | − | 0.0778895i | ||||
\(959\) | −3863.33 | + | 3241.72i | −0.130087 | + | 0.109156i | ||||
\(960\) | 17602.7 | + | 5088.67i | 0.591796 | + | 0.171079i | ||||
\(961\) | −13222.7 | + | 4812.67i | −0.443849 | + | 0.161548i | ||||
\(962\) | 10968.1 | − | 42646.0i | 0.367595 | − | 1.42928i | ||||
\(963\) | 15714.2 | + | 26327.6i | 0.525837 | + | 0.880991i | ||||
\(964\) | −18335.9 | − | 10099.6i | −0.612613 | − | 0.337435i | ||||
\(965\) | −13029.3 | − | 2297.42i | −0.434641 | − | 0.0766390i | ||||
\(966\) | −6462.38 | + | 14509.7i | −0.215242 | + | 0.483273i | ||||
\(967\) | 13217.6 | − | 36315.0i | 0.439555 | − | 1.20767i | −0.500228 | − | 0.865894i | \(-0.666751\pi\) |
0.939783 | − | 0.341772i | \(-0.111027\pi\) | |||||||
\(968\) | 16255.1 | + | 10665.3i | 0.539729 | + | 0.354129i | ||||
\(969\) | −12011.3 | + | 21157.3i | −0.398202 | + | 0.701414i | ||||
\(970\) | 25933.3 | − | 2532.15i | 0.858422 | − | 0.0838169i | ||||
\(971\) | −16040.6 | −0.530141 | −0.265070 | − | 0.964229i | \(-0.585395\pi\) | ||||
−0.265070 | + | 0.964229i | \(0.585395\pi\) | |||||||
\(972\) | −20757.1 | − | 22078.8i | −0.684964 | − | 0.728577i | ||||
\(973\) | 1633.31 | 0.0538144 | ||||||||
\(974\) | 23027.6 | − | 2248.43i | 0.757547 | − | 0.0739674i | ||||
\(975\) | 15474.6 | − | 27257.9i | 0.508293 | − | 0.895334i | ||||
\(976\) | −8276.77 | − | 37938.8i | −0.271448 | − | 1.24425i | ||||
\(977\) | −12784.2 | + | 35124.3i | −0.418632 | + | 1.15018i | 0.533849 | + | 0.845580i | \(0.320745\pi\) |
−0.952480 | + | 0.304601i | \(0.901477\pi\) | |||||||
\(978\) | 4797.02 | − | 10770.5i | 0.156842 | − | 0.352151i | ||||
\(979\) | 29850.0 | + | 5263.35i | 0.974473 | + | 0.171826i | ||||
\(980\) | 8064.86 | − | 14641.7i | 0.262880 | − | 0.477258i | ||||
\(981\) | 16209.2 | + | 27156.9i | 0.527542 | + | 0.883847i | ||||
\(982\) | 5415.51 | − | 21056.5i | 0.175984 | − | 0.684257i | ||||
\(983\) | 6977.09 | − | 2539.45i | 0.226383 | − | 0.0823967i | −0.226338 | − | 0.974049i | \(-0.572675\pi\) |
0.452721 | + | 0.891652i | \(0.350453\pi\) | |||||||
\(984\) | −12914.9 | − | 25188.1i | −0.418408 | − | 0.816023i | ||||
\(985\) | 21140.9 | − | 17739.4i | 0.683864 | − | 0.573830i | ||||
\(986\) | 2348.87 | + | 181.696i | 0.0758655 | + | 0.00586853i | ||||
\(987\) | 5548.97 | + | 6516.36i | 0.178952 | + | 0.210150i | ||||
\(988\) | 68976.6 | − | 26689.8i | 2.22109 | − | 0.859429i | ||||
\(989\) | −8826.68 | + | 5096.08i | −0.283794 | + | 0.163848i | ||||
\(990\) | −6780.91 | − | 9194.57i | −0.217688 | − | 0.295174i | ||||
\(991\) | 3529.64 | + | 2037.84i | 0.113141 | + | 0.0653221i | 0.555503 | − | 0.831515i | \(-0.312526\pi\) |
−0.442362 | + | 0.896837i | \(0.645859\pi\) | |||||||
\(992\) | −13936.6 | − | 17912.9i | −0.446057 | − | 0.573323i | ||||
\(993\) | −9107.92 | + | 11015.8i | −0.291069 | + | 0.352040i | ||||
\(994\) | −2454.41 | + | 1174.73i | −0.0783189 | + | 0.0374850i | ||||
\(995\) | −2444.69 | − | 13864.6i | −0.0778915 | − | 0.441745i | ||||
\(996\) | −41147.5 | + | 25283.7i | −1.30904 | + | 0.804363i | ||||
\(997\) | 36870.1 | + | 30937.7i | 1.17120 | + | 0.982754i | 0.999997 | − | 0.00248171i | \(-0.000789953\pi\) |
0.171204 | + | 0.985236i | \(0.445234\pi\) | |||||||
\(998\) | 6612.92 | − | 6747.40i | 0.209748 | − | 0.214013i | ||||
\(999\) | 14568.7 | + | 24010.7i | 0.461393 | + | 0.760424i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 108.4.l.a.11.30 | yes | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.11.1 | ✓ | 312 | |
27.5 | odd | 18 | inner | 108.4.l.a.59.1 | yes | 312 | |
108.59 | even | 18 | inner | 108.4.l.a.59.30 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.1 | ✓ | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.11.30 | yes | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.59.1 | yes | 312 | 27.5 | odd | 18 | inner | |
108.4.l.a.59.30 | yes | 312 | 108.59 | even | 18 | inner |